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Finding the Fourth Proportional to 4,666.68, 7,001.01 and 1,546.53

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Solution

The fourth proportional to 4,666.68, 7,001.01 and 1,546.53 is: 2,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.68 : 7,001.01 = 1,546.53 : x
  2. Step 2: Convert to fraction form
    4,666.68/7,001.01 = 1,546.53/x
  3. Step 3: Cross multiply
    4,666.68x = 7,001.01 × 1,546.53
  4. Step 4: Simplify right side
    4,666.68x = 10,827,272.00
  5. Step 5: Solve for x
    x = 10,827,272.00/4,666.68
  6. Step 6: Final answer
    x = 2,320.12

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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.