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Finding the Fourth Proportional to 5,877.61, 8,838.80 and 4,694.30

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Solution

The fourth proportional to 5,877.61, 8,838.80 and 4,694.30 is: 7,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.61 : 8,838.80 = 4,694.30 : x
  2. Step 2: Convert to fraction form
    5,877.61/8,838.80 = 4,694.30/x
  3. Step 3: Cross multiply
    5,877.61x = 8,838.80 × 4,694.30
  4. Step 4: Simplify right side
    5,877.61x = 41,491,998.44
  5. Step 5: Solve for x
    x = 41,491,998.44/5,877.61
  6. Step 6: Final answer
    x = 7,059.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.