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Finding the Fourth Proportional to 5,754,061.48, 7,940,565.74 and 3,175,742.20

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Solution

The fourth proportional to 5,754,061.48, 7,940,565.74 and 3,175,742.20 is: 4,382,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754,061.48 : 7,940,565.74 = 3,175,742.20 : x
  2. Step 2: Convert to fraction form
    5,754,061.48/7,940,565.74 = 3,175,742.20/x
  3. Step 3: Cross multiply
    5,754,061.48x = 7,940,565.74 × 3,175,742.20
  4. Step 4: Simplify right side
    5,754,061.48x = 25,217,189,712,392.23
  5. Step 5: Solve for x
    x = 25,217,189,712,392.23/5,754,061.48
  6. Step 6: Final answer
    x = 4,382,502.65

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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.