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Finding the Fourth Proportional to 3,432.69, 5,152.01 and 2,259.36

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Solution

The fourth proportional to 3,432.69, 5,152.01 and 2,259.36 is: 3,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.69 : 5,152.01 = 2,259.36 : x
  2. Step 2: Convert to fraction form
    3,432.69/5,152.01 = 2,259.36/x
  3. Step 3: Cross multiply
    3,432.69x = 5,152.01 × 2,259.36
  4. Step 4: Simplify right side
    3,432.69x = 11,640,234.02
  5. Step 5: Solve for x
    x = 11,640,234.02/3,432.69
  6. Step 6: Final answer
    x = 3,390.99

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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.