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Finding the Fourth Proportional to 3,756.58, 5,632.68 and 1,562.68

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Solution

The fourth proportional to 3,756.58, 5,632.68 and 1,562.68 is: 2,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.58 : 5,632.68 = 1,562.68 : x
  2. Step 2: Convert to fraction form
    3,756.58/5,632.68 = 1,562.68/x
  3. Step 3: Cross multiply
    3,756.58x = 5,632.68 × 1,562.68
  4. Step 4: Simplify right side
    3,756.58x = 8,802,076.38
  5. Step 5: Solve for x
    x = 8,802,076.38/3,756.58
  6. Step 6: Final answer
    x = 2,343.11

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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.