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Finding the Fourth Proportional to 5,617.80, 7,752.02 and 3,259.71

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Solution

The fourth proportional to 5,617.80, 7,752.02 and 3,259.71 is: 4,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.80 : 7,752.02 = 3,259.71 : x
  2. Step 2: Convert to fraction form
    5,617.80/7,752.02 = 3,259.71/x
  3. Step 3: Cross multiply
    5,617.80x = 7,752.02 × 3,259.71
  4. Step 4: Simplify right side
    5,617.80x = 25,269,320.82
  5. Step 5: Solve for x
    x = 25,269,320.82/5,617.80
  6. Step 6: Final answer
    x = 4,498.08

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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.