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Finding the Fourth Proportional to 3,260.50, 4,503.18 and 3,002.16

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Solution

The fourth proportional to 3,260.50, 4,503.18 and 3,002.16 is: 4,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.50 : 4,503.18 = 3,002.16 : x
  2. Step 2: Convert to fraction form
    3,260.50/4,503.18 = 3,002.16/x
  3. Step 3: Cross multiply
    3,260.50x = 4,503.18 × 3,002.16
  4. Step 4: Simplify right side
    3,260.50x = 13,519,251.86
  5. Step 5: Solve for x
    x = 13,519,251.86/3,260.50
  6. Step 6: Final answer
    x = 4,146.38

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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.