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Finding the Fourth Proportional to 3,784,701.54, 5,676,998.84 and 1,761,814.02

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Solution

The fourth proportional to 3,784,701.54, 5,676,998.84 and 1,761,814.02 is: 2,642,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,701.54 : 5,676,998.84 = 1,761,814.02 : x
  2. Step 2: Convert to fraction form
    3,784,701.54/5,676,998.84 = 1,761,814.02/x
  3. Step 3: Cross multiply
    3,784,701.54x = 5,676,998.84 × 1,761,814.02
  4. Step 4: Simplify right side
    3,784,701.54x = 10,001,816,147,835.74
  5. Step 5: Solve for x
    x = 10,001,816,147,835.74/3,784,701.54
  6. Step 6: Final answer
    x = 2,642,696.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.