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Finding the Fourth Proportional to 4,459.78, 6,154.55 and 2,470.38

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Solution

The fourth proportional to 4,459.78, 6,154.55 and 2,470.38 is: 3,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.78 : 6,154.55 = 2,470.38 : x
  2. Step 2: Convert to fraction form
    4,459.78/6,154.55 = 2,470.38/x
  3. Step 3: Cross multiply
    4,459.78x = 6,154.55 × 2,470.38
  4. Step 4: Simplify right side
    4,459.78x = 15,204,077.23
  5. Step 5: Solve for x
    x = 15,204,077.23/4,459.78
  6. Step 6: Final answer
    x = 3,409.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.