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Finding the Fourth Proportional to 5,728.24, 8,590.20 and 2,439.28

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Solution

The fourth proportional to 5,728.24, 8,590.20 and 2,439.28 is: 3,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.24 : 8,590.20 = 2,439.28 : x
  2. Step 2: Convert to fraction form
    5,728.24/8,590.20 = 2,439.28/x
  3. Step 3: Cross multiply
    5,728.24x = 8,590.20 × 2,439.28
  4. Step 4: Simplify right side
    5,728.24x = 20,953,903.06
  5. Step 5: Solve for x
    x = 20,953,903.06/5,728.24
  6. Step 6: Final answer
    x = 3,658.00

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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.