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Finding the Fourth Proportional to 5,509.50, 7,600.02 and 3,269.16

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Solution

The fourth proportional to 5,509.50, 7,600.02 and 3,269.16 is: 4,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.50 : 7,600.02 = 3,269.16 : x
  2. Step 2: Convert to fraction form
    5,509.50/7,600.02 = 3,269.16/x
  3. Step 3: Cross multiply
    5,509.50x = 7,600.02 × 3,269.16
  4. Step 4: Simplify right side
    5,509.50x = 24,845,681.38
  5. Step 5: Solve for x
    x = 24,845,681.38/5,509.50
  6. Step 6: Final answer
    x = 4,509.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.