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Finding the Fourth Proportional to 3,707.68, 5,114.18 and 2,379.28

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Solution

The fourth proportional to 3,707.68, 5,114.18 and 2,379.28 is: 3,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.68 : 5,114.18 = 2,379.28 : x
  2. Step 2: Convert to fraction form
    3,707.68/5,114.18 = 2,379.28/x
  3. Step 3: Cross multiply
    3,707.68x = 5,114.18 × 2,379.28
  4. Step 4: Simplify right side
    3,707.68x = 12,168,066.19
  5. Step 5: Solve for x
    x = 12,168,066.19/3,707.68
  6. Step 6: Final answer
    x = 3,281.85

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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.