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Finding the Fourth Proportional to 6,470.46, 8,929.19 and 3,637.82

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Solution

The fourth proportional to 6,470.46, 8,929.19 and 3,637.82 is: 5,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.46 : 8,929.19 = 3,637.82 : x
  2. Step 2: Convert to fraction form
    6,470.46/8,929.19 = 3,637.82/x
  3. Step 3: Cross multiply
    6,470.46x = 8,929.19 × 3,637.82
  4. Step 4: Simplify right side
    6,470.46x = 32,482,817.38
  5. Step 5: Solve for x
    x = 32,482,817.38/6,470.46
  6. Step 6: Final answer
    x = 5,020.17

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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.