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Finding the Fourth Proportional to 6,582.74, 9,085.17 and 3,787.70

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Solution

The fourth proportional to 6,582.74, 9,085.17 and 3,787.70 is: 5,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.74 : 9,085.17 = 3,787.70 : x
  2. Step 2: Convert to fraction form
    6,582.74/9,085.17 = 3,787.70/x
  3. Step 3: Cross multiply
    6,582.74x = 9,085.17 × 3,787.70
  4. Step 4: Simplify right side
    6,582.74x = 34,411,898.41
  5. Step 5: Solve for x
    x = 34,411,898.41/6,582.74
  6. Step 6: Final answer
    x = 5,227.59

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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.