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Finding the Fourth Proportional to 6,431.84, 8,876.80 and 3,637.92

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Solution

The fourth proportional to 6,431.84, 8,876.80 and 3,637.92 is: 5,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.84 : 8,876.80 = 3,637.92 : x
  2. Step 2: Convert to fraction form
    6,431.84/8,876.80 = 3,637.92/x
  3. Step 3: Cross multiply
    6,431.84x = 8,876.80 × 3,637.92
  4. Step 4: Simplify right side
    6,431.84x = 32,293,088.26
  5. Step 5: Solve for x
    x = 32,293,088.26/6,431.84
  6. Step 6: Final answer
    x = 5,020.82

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