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Finding the Fourth Proportional to 3,706.59, 5,109.17 and 2,511.21

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Solution

The fourth proportional to 3,706.59, 5,109.17 and 2,511.21 is: 3,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.59 : 5,109.17 = 2,511.21 : x
  2. Step 2: Convert to fraction form
    3,706.59/5,109.17 = 2,511.21/x
  3. Step 3: Cross multiply
    3,706.59x = 5,109.17 × 2,511.21
  4. Step 4: Simplify right side
    3,706.59x = 12,830,186.24
  5. Step 5: Solve for x
    x = 12,830,186.24/3,706.59
  6. Step 6: Final answer
    x = 3,461.45

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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.