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Finding the Fourth Proportional to 3,707.57, 5,114.97 and 2,214.95

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Solution

The fourth proportional to 3,707.57, 5,114.97 and 2,214.95 is: 3,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.57 : 5,114.97 = 2,214.95 : x
  2. Step 2: Convert to fraction form
    3,707.57/5,114.97 = 2,214.95/x
  3. Step 3: Cross multiply
    3,707.57x = 5,114.97 × 2,214.95
  4. Step 4: Simplify right side
    3,707.57x = 11,329,377.23
  5. Step 5: Solve for x
    x = 11,329,377.23/3,707.57
  6. Step 6: Final answer
    x = 3,055.74

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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.