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Finding the Fourth Proportional to 5,959.40, 8,216.40 and 4,259.92

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Solution

The fourth proportional to 5,959.40, 8,216.40 and 4,259.92 is: 5,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.40 : 8,216.40 = 4,259.92 : x
  2. Step 2: Convert to fraction form
    5,959.40/8,216.40 = 4,259.92/x
  3. Step 3: Cross multiply
    5,959.40x = 8,216.40 × 4,259.92
  4. Step 4: Simplify right side
    5,959.40x = 35,001,206.69
  5. Step 5: Solve for x
    x = 35,001,206.69/5,959.40
  6. Step 6: Final answer
    x = 5,873.28

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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.