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Finding the Fourth Proportional to 5,498.46, 7,587.80 and 3,140.54

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Solution

The fourth proportional to 5,498.46, 7,587.80 and 3,140.54 is: 4,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.46 : 7,587.80 = 3,140.54 : x
  2. Step 2: Convert to fraction form
    5,498.46/7,587.80 = 3,140.54/x
  3. Step 3: Cross multiply
    5,498.46x = 7,587.80 × 3,140.54
  4. Step 4: Simplify right side
    5,498.46x = 23,829,789.41
  5. Step 5: Solve for x
    x = 23,829,789.41/5,498.46
  6. Step 6: Final answer
    x = 4,333.90

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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.