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Finding the Fourth Proportional to 3,420.47, 5,132.06 and 1,687.88

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Solution

The fourth proportional to 3,420.47, 5,132.06 and 1,687.88 is: 2,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.47 : 5,132.06 = 1,687.88 : x
  2. Step 2: Convert to fraction form
    3,420.47/5,132.06 = 1,687.88/x
  3. Step 3: Cross multiply
    3,420.47x = 5,132.06 × 1,687.88
  4. Step 4: Simplify right side
    3,420.47x = 8,662,267.33
  5. Step 5: Solve for x
    x = 8,662,267.33/3,420.47
  6. Step 6: Final answer
    x = 2,532.48

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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.