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Finding the Fourth Proportional to 5,822.17, 8,735.31 and 2,534.84

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Solution

The fourth proportional to 5,822.17, 8,735.31 and 2,534.84 is: 3,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.17 : 8,735.31 = 2,534.84 : x
  2. Step 2: Convert to fraction form
    5,822.17/8,735.31 = 2,534.84/x
  3. Step 3: Cross multiply
    5,822.17x = 8,735.31 × 2,534.84
  4. Step 4: Simplify right side
    5,822.17x = 22,142,613.20
  5. Step 5: Solve for x
    x = 22,142,613.20/5,822.17
  6. Step 6: Final answer
    x = 3,803.15

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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.