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Finding the Fourth Proportional to 3,707.40, 5,114.88 and 2,135.04

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Solution

The fourth proportional to 3,707.40, 5,114.88 and 2,135.04 is: 2,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.40 : 5,114.88 = 2,135.04 : x
  2. Step 2: Convert to fraction form
    3,707.40/5,114.88 = 2,135.04/x
  3. Step 3: Cross multiply
    3,707.40x = 5,114.88 × 2,135.04
  4. Step 4: Simplify right side
    3,707.40x = 10,920,473.40
  5. Step 5: Solve for x
    x = 10,920,473.40/3,707.40
  6. Step 6: Final answer
    x = 2,945.59

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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.