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Finding the Fourth Proportional to 6,142.71, 8,477.82 and 3,489.57

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Solution

The fourth proportional to 6,142.71, 8,477.82 and 3,489.57 is: 4,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.71 : 8,477.82 = 3,489.57 : x
  2. Step 2: Convert to fraction form
    6,142.71/8,477.82 = 3,489.57/x
  3. Step 3: Cross multiply
    6,142.71x = 8,477.82 × 3,489.57
  4. Step 4: Simplify right side
    6,142.71x = 29,583,946.34
  5. Step 5: Solve for x
    x = 29,583,946.34/6,142.71
  6. Step 6: Final answer
    x = 4,816.11

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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.