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Finding the Fourth Proportional to 6,854.40, 9,458.96 and 3,710.56

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Solution

The fourth proportional to 6,854.40, 9,458.96 and 3,710.56 is: 5,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.40 : 9,458.96 = 3,710.56 : x
  2. Step 2: Convert to fraction form
    6,854.40/9,458.96 = 3,710.56/x
  3. Step 3: Cross multiply
    6,854.40x = 9,458.96 × 3,710.56
  4. Step 4: Simplify right side
    6,854.40x = 35,098,038.62
  5. Step 5: Solve for x
    x = 35,098,038.62/6,854.40
  6. Step 6: Final answer
    x = 5,120.51

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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.