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Finding the Fourth Proportional to 5,708.16, 8,562.93 and 2,197.35

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Solution

The fourth proportional to 5,708.16, 8,562.93 and 2,197.35 is: 3,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.16 : 8,562.93 = 2,197.35 : x
  2. Step 2: Convert to fraction form
    5,708.16/8,562.93 = 2,197.35/x
  3. Step 3: Cross multiply
    5,708.16x = 8,562.93 × 2,197.35
  4. Step 4: Simplify right side
    5,708.16x = 18,815,754.24
  5. Step 5: Solve for x
    x = 18,815,754.24/5,708.16
  6. Step 6: Final answer
    x = 3,296.29

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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.