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Finding the Fourth Proportional to 6,005.71, 8,292.49 and 4,677.10

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Solution

The fourth proportional to 6,005.71, 8,292.49 and 4,677.10 is: 6,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.71 : 8,292.49 = 4,677.10 : x
  2. Step 2: Convert to fraction form
    6,005.71/8,292.49 = 4,677.10/x
  3. Step 3: Cross multiply
    6,005.71x = 8,292.49 × 4,677.10
  4. Step 4: Simplify right side
    6,005.71x = 38,784,837.44
  5. Step 5: Solve for x
    x = 38,784,837.44/6,005.71
  6. Step 6: Final answer
    x = 6,458.00

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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.