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Finding the Fourth Proportional to 3,259.72, 4,498.50 and 1,862.92

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Solution

The fourth proportional to 3,259.72, 4,498.50 and 1,862.92 is: 2,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.72 : 4,498.50 = 1,862.92 : x
  2. Step 2: Convert to fraction form
    3,259.72/4,498.50 = 1,862.92/x
  3. Step 3: Cross multiply
    3,259.72x = 4,498.50 × 1,862.92
  4. Step 4: Simplify right side
    3,259.72x = 8,380,345.62
  5. Step 5: Solve for x
    x = 8,380,345.62/3,259.72
  6. Step 6: Final answer
    x = 2,570.88

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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.