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Finding the Fourth Proportional to 3,417.78, 5,121.72 and 1,856.46

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Solution

The fourth proportional to 3,417.78, 5,121.72 and 1,856.46 is: 2,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.78 : 5,121.72 = 1,856.46 : x
  2. Step 2: Convert to fraction form
    3,417.78/5,121.72 = 1,856.46/x
  3. Step 3: Cross multiply
    3,417.78x = 5,121.72 × 1,856.46
  4. Step 4: Simplify right side
    3,417.78x = 9,508,268.31
  5. Step 5: Solve for x
    x = 9,508,268.31/3,417.78
  6. Step 6: Final answer
    x = 2,782.00

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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.