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Finding the Fourth Proportional to 5,712, 8,561.44 and 2,588.64

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Solution

The fourth proportional to 5,712, 8,561.44 and 2,588.64 is: 3,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712 : 8,561.44 = 2,588.64 : x
  2. Step 2: Convert to fraction form
    5,712/8,561.44 = 2,588.64/x
  3. Step 3: Cross multiply
    5,712x = 8,561.44 × 2,588.64
  4. Step 4: Simplify right side
    5,712x = 22,162,486.04
  5. Step 5: Solve for x
    x = 22,162,486.04/5,712
  6. Step 6: Final answer
    x = 3,879.99

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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.