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Finding the Fourth Proportional to 5,432.24, 8,154.84 and 2,840.24

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Solution

The fourth proportional to 5,432.24, 8,154.84 and 2,840.24 is: 4,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.24 : 8,154.84 = 2,840.24 : x
  2. Step 2: Convert to fraction form
    5,432.24/8,154.84 = 2,840.24/x
  3. Step 3: Cross multiply
    5,432.24x = 8,154.84 × 2,840.24
  4. Step 4: Simplify right side
    5,432.24x = 23,161,702.76
  5. Step 5: Solve for x
    x = 23,161,702.76/5,432.24
  6. Step 6: Final answer
    x = 4,263.75

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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.