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Finding the Fourth Proportional to 3,407.98, 4,701.67 and 2,513.87

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Solution

The fourth proportional to 3,407.98, 4,701.67 and 2,513.87 is: 3,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.98 : 4,701.67 = 2,513.87 : x
  2. Step 2: Convert to fraction form
    3,407.98/4,701.67 = 2,513.87/x
  3. Step 3: Cross multiply
    3,407.98x = 4,701.67 × 2,513.87
  4. Step 4: Simplify right side
    3,407.98x = 11,819,377.46
  5. Step 5: Solve for x
    x = 11,819,377.46/3,407.98
  6. Step 6: Final answer
    x = 3,468.15

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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.