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Finding the Fourth Proportional to 4,966.65, 7,447.14 and 2,041.47

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Solution

The fourth proportional to 4,966.65, 7,447.14 and 2,041.47 is: 3,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.65 : 7,447.14 = 2,041.47 : x
  2. Step 2: Convert to fraction form
    4,966.65/7,447.14 = 2,041.47/x
  3. Step 3: Cross multiply
    4,966.65x = 7,447.14 × 2,041.47
  4. Step 4: Simplify right side
    4,966.65x = 15,203,112.90
  5. Step 5: Solve for x
    x = 15,203,112.90/4,966.65
  6. Step 6: Final answer
    x = 3,061.04

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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.