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Finding the Fourth Proportional to 3,411.52, 5,115.84 and 1,462.72

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Solution

The fourth proportional to 3,411.52, 5,115.84 and 1,462.72 is: 2,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.52 : 5,115.84 = 1,462.72 : x
  2. Step 2: Convert to fraction form
    3,411.52/5,115.84 = 1,462.72/x
  3. Step 3: Cross multiply
    3,411.52x = 5,115.84 × 1,462.72
  4. Step 4: Simplify right side
    3,411.52x = 7,483,041.48
  5. Step 5: Solve for x
    x = 7,483,041.48/3,411.52
  6. Step 6: Final answer
    x = 2,193.46

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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.