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Finding the Fourth Proportional to 5,103.56, 7,660.48 and 3,437.48

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Solution

The fourth proportional to 5,103.56, 7,660.48 and 3,437.48 is: 5,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.56 : 7,660.48 = 3,437.48 : x
  2. Step 2: Convert to fraction form
    5,103.56/7,660.48 = 3,437.48/x
  3. Step 3: Cross multiply
    5,103.56x = 7,660.48 × 3,437.48
  4. Step 4: Simplify right side
    5,103.56x = 26,332,746.79
  5. Step 5: Solve for x
    x = 26,332,746.79/5,103.56
  6. Step 6: Final answer
    x = 5,159.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.