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Finding the Fourth Proportional to 5,726.48, 8,592.60 and 2,266.64

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Solution

The fourth proportional to 5,726.48, 8,592.60 and 2,266.64 is: 3,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.48 : 8,592.60 = 2,266.64 : x
  2. Step 2: Convert to fraction form
    5,726.48/8,592.60 = 2,266.64/x
  3. Step 3: Cross multiply
    5,726.48x = 8,592.60 × 2,266.64
  4. Step 4: Simplify right side
    5,726.48x = 19,476,330.86
  5. Step 5: Solve for x
    x = 19,476,330.86/5,726.48
  6. Step 6: Final answer
    x = 3,401.10

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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.