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Finding the Fourth Proportional to 5,708.76, 7,875.39 and 3,718.56

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Solution

The fourth proportional to 5,708.76, 7,875.39 and 3,718.56 is: 5,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.76 : 7,875.39 = 3,718.56 : x
  2. Step 2: Convert to fraction form
    5,708.76/7,875.39 = 3,718.56/x
  3. Step 3: Cross multiply
    5,708.76x = 7,875.39 × 3,718.56
  4. Step 4: Simplify right side
    5,708.76x = 29,285,110.24
  5. Step 5: Solve for x
    x = 29,285,110.24/5,708.76
  6. Step 6: Final answer
    x = 5,129.85

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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.