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Finding the Fourth Proportional to 5,713.13, 7,881.91 and 3,587.76

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Solution

The fourth proportional to 5,713.13, 7,881.91 and 3,587.76 is: 4,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.13 : 7,881.91 = 3,587.76 : x
  2. Step 2: Convert to fraction form
    5,713.13/7,881.91 = 3,587.76/x
  3. Step 3: Cross multiply
    5,713.13x = 7,881.91 × 3,587.76
  4. Step 4: Simplify right side
    5,713.13x = 28,278,392.45
  5. Step 5: Solve for x
    x = 28,278,392.45/5,713.13
  6. Step 6: Final answer
    x = 4,949.72

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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.