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Finding the Fourth Proportional to 5,597.87, 8,390.65 and 2,309.18

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Solution

The fourth proportional to 5,597.87, 8,390.65 and 2,309.18 is: 3,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.87 : 8,390.65 = 2,309.18 : x
  2. Step 2: Convert to fraction form
    5,597.87/8,390.65 = 2,309.18/x
  3. Step 3: Cross multiply
    5,597.87x = 8,390.65 × 2,309.18
  4. Step 4: Simplify right side
    5,597.87x = 19,375,521.17
  5. Step 5: Solve for x
    x = 19,375,521.17/5,597.87
  6. Step 6: Final answer
    x = 3,461.23

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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.