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Finding the Fourth Proportional to 3,456.57, 4,774.07 and 2,516.59

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Solution

The fourth proportional to 3,456.57, 4,774.07 and 2,516.59 is: 3,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.57 : 4,774.07 = 2,516.59 : x
  2. Step 2: Convert to fraction form
    3,456.57/4,774.07 = 2,516.59/x
  3. Step 3: Cross multiply
    3,456.57x = 4,774.07 × 2,516.59
  4. Step 4: Simplify right side
    3,456.57x = 12,014,371.18
  5. Step 5: Solve for x
    x = 12,014,371.18/3,456.57
  6. Step 6: Final answer
    x = 3,475.81

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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.