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Finding the Fourth Proportional to 3,706.90, 5,114.88 and 2,214.95

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Solution

The fourth proportional to 3,706.90, 5,114.88 and 2,214.95 is: 3,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.90 : 5,114.88 = 2,214.95 : x
  2. Step 2: Convert to fraction form
    3,706.90/5,114.88 = 2,214.95/x
  3. Step 3: Cross multiply
    3,706.90x = 5,114.88 × 2,214.95
  4. Step 4: Simplify right side
    3,706.90x = 11,329,177.88
  5. Step 5: Solve for x
    x = 11,329,177.88/3,706.90
  6. Step 6: Final answer
    x = 3,056.24

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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.