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Finding the Fourth Proportional to 4,354.56, 6,007.80 and 2,465.92

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Solution

The fourth proportional to 4,354.56, 6,007.80 and 2,465.92 is: 3,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.56 : 6,007.80 = 2,465.92 : x
  2. Step 2: Convert to fraction form
    4,354.56/6,007.80 = 2,465.92/x
  3. Step 3: Cross multiply
    4,354.56x = 6,007.80 × 2,465.92
  4. Step 4: Simplify right side
    4,354.56x = 14,814,754.18
  5. Step 5: Solve for x
    x = 14,814,754.18/4,354.56
  6. Step 6: Final answer
    x = 3,402.12

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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.