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Finding the Fourth Proportional to 5,822.60, 8,728.41 and 2,898.14

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Solution

The fourth proportional to 5,822.60, 8,728.41 and 2,898.14 is: 4,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.60 : 8,728.41 = 2,898.14 : x
  2. Step 2: Convert to fraction form
    5,822.60/8,728.41 = 2,898.14/x
  3. Step 3: Cross multiply
    5,822.60x = 8,728.41 × 2,898.14
  4. Step 4: Simplify right side
    5,822.60x = 25,296,154.16
  5. Step 5: Solve for x
    x = 25,296,154.16/5,822.60
  6. Step 6: Final answer
    x = 4,344.48

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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.