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Finding the Fourth Proportional to 3,498.78, 5,243.70 and 1,856.10

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Solution

The fourth proportional to 3,498.78, 5,243.70 and 1,856.10 is: 2,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.78 : 5,243.70 = 1,856.10 : x
  2. Step 2: Convert to fraction form
    3,498.78/5,243.70 = 1,856.10/x
  3. Step 3: Cross multiply
    3,498.78x = 5,243.70 × 1,856.10
  4. Step 4: Simplify right side
    3,498.78x = 9,732,831.57
  5. Step 5: Solve for x
    x = 9,732,831.57/3,498.78
  6. Step 6: Final answer
    x = 2,781.78

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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.