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Finding the Fourth Proportional to 3,411.16, 4,710.78 and 3,217.24

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Solution

The fourth proportional to 3,411.16, 4,710.78 and 3,217.24 is: 4,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.16 : 4,710.78 = 3,217.24 : x
  2. Step 2: Convert to fraction form
    3,411.16/4,710.78 = 3,217.24/x
  3. Step 3: Cross multiply
    3,411.16x = 4,710.78 × 3,217.24
  4. Step 4: Simplify right side
    3,411.16x = 15,155,709.85
  5. Step 5: Solve for x
    x = 15,155,709.85/3,411.16
  6. Step 6: Final answer
    x = 4,442.98

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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.