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Finding the Fourth Proportional to 3,721.90, 5,586.50 and 1,775.47

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Solution

The fourth proportional to 3,721.90, 5,586.50 and 1,775.47 is: 2,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.90 : 5,586.50 = 1,775.47 : x
  2. Step 2: Convert to fraction form
    3,721.90/5,586.50 = 1,775.47/x
  3. Step 3: Cross multiply
    3,721.90x = 5,586.50 × 1,775.47
  4. Step 4: Simplify right side
    3,721.90x = 9,918,663.16
  5. Step 5: Solve for x
    x = 9,918,663.16/3,721.90
  6. Step 6: Final answer
    x = 2,664.95

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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.