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Finding the Fourth Proportional to 4,534.76, 6,257.78 and 2,545.48

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Solution

The fourth proportional to 4,534.76, 6,257.78 and 2,545.48 is: 3,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.76 : 6,257.78 = 2,545.48 : x
  2. Step 2: Convert to fraction form
    4,534.76/6,257.78 = 2,545.48/x
  3. Step 3: Cross multiply
    4,534.76x = 6,257.78 × 2,545.48
  4. Step 4: Simplify right side
    4,534.76x = 15,929,053.83
  5. Step 5: Solve for x
    x = 15,929,053.83/4,534.76
  6. Step 6: Final answer
    x = 3,512.66

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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.