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Finding the Fourth Proportional to 5,708.27, 7,881.12 and 5,109.72

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Solution

The fourth proportional to 5,708.27, 7,881.12 and 5,109.72 is: 7,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.27 : 7,881.12 = 5,109.72 : x
  2. Step 2: Convert to fraction form
    5,708.27/7,881.12 = 5,109.72/x
  3. Step 3: Cross multiply
    5,708.27x = 7,881.12 × 5,109.72
  4. Step 4: Simplify right side
    5,708.27x = 40,270,316.49
  5. Step 5: Solve for x
    x = 40,270,316.49/5,708.27
  6. Step 6: Final answer
    x = 7,054.74

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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.