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Finding the Fourth Proportional to 5,488.72, 8,232.24 and 1,592.32

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Solution

The fourth proportional to 5,488.72, 8,232.24 and 1,592.32 is: 2,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.72 : 8,232.24 = 1,592.32 : x
  2. Step 2: Convert to fraction form
    5,488.72/8,232.24 = 1,592.32/x
  3. Step 3: Cross multiply
    5,488.72x = 8,232.24 × 1,592.32
  4. Step 4: Simplify right side
    5,488.72x = 13,108,360.40
  5. Step 5: Solve for x
    x = 13,108,360.40/5,488.72
  6. Step 6: Final answer
    x = 2,388.24

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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.