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Finding the Fourth Proportional to 3,259.76, 4,498.50 and 1,862.50

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Solution

The fourth proportional to 3,259.76, 4,498.50 and 1,862.50 is: 2,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.76 : 4,498.50 = 1,862.50 : x
  2. Step 2: Convert to fraction form
    3,259.76/4,498.50 = 1,862.50/x
  3. Step 3: Cross multiply
    3,259.76x = 4,498.50 × 1,862.50
  4. Step 4: Simplify right side
    3,259.76x = 8,378,456.25
  5. Step 5: Solve for x
    x = 8,378,456.25/3,259.76
  6. Step 6: Final answer
    x = 2,570.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.