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Finding the Fourth Proportional to 5,760.48, 8,638.56 and 2,840.16

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Solution

The fourth proportional to 5,760.48, 8,638.56 and 2,840.16 is: 4,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.48 : 8,638.56 = 2,840.16 : x
  2. Step 2: Convert to fraction form
    5,760.48/8,638.56 = 2,840.16/x
  3. Step 3: Cross multiply
    5,760.48x = 8,638.56 × 2,840.16
  4. Step 4: Simplify right side
    5,760.48x = 24,534,892.57
  5. Step 5: Solve for x
    x = 24,534,892.57/5,760.48
  6. Step 6: Final answer
    x = 4,259.18

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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.