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Finding the Fourth Proportional to 3,098.54, 4,647.87 and 1,124.57

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Solution

The fourth proportional to 3,098.54, 4,647.87 and 1,124.57 is: 1,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.54 : 4,647.87 = 1,124.57 : x
  2. Step 2: Convert to fraction form
    3,098.54/4,647.87 = 1,124.57/x
  3. Step 3: Cross multiply
    3,098.54x = 4,647.87 × 1,124.57
  4. Step 4: Simplify right side
    3,098.54x = 5,226,831.93
  5. Step 5: Solve for x
    x = 5,226,831.93/3,098.54
  6. Step 6: Final answer
    x = 1,686.87

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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.