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Finding the Fourth Proportional to 5,751.84, 8,608.32 and 3,432

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Solution

The fourth proportional to 5,751.84, 8,608.32 and 3,432 is: 5,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.84 : 8,608.32 = 3,432 : x
  2. Step 2: Convert to fraction form
    5,751.84/8,608.32 = 3,432/x
  3. Step 3: Cross multiply
    5,751.84x = 8,608.32 × 3,432
  4. Step 4: Simplify right side
    5,751.84x = 29,543,754.24
  5. Step 5: Solve for x
    x = 29,543,754.24/5,751.84
  6. Step 6: Final answer
    x = 5,136.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.