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Finding the Fourth Proportional to 5,712.66, 8,569.26 and 2,249.64

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Solution

The fourth proportional to 5,712.66, 8,569.26 and 2,249.64 is: 3,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.66 : 8,569.26 = 2,249.64 : x
  2. Step 2: Convert to fraction form
    5,712.66/8,569.26 = 2,249.64/x
  3. Step 3: Cross multiply
    5,712.66x = 8,569.26 × 2,249.64
  4. Step 4: Simplify right side
    5,712.66x = 19,277,750.07
  5. Step 5: Solve for x
    x = 19,277,750.07/5,712.66
  6. Step 6: Final answer
    x = 3,374.57

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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.