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Finding the Fourth Proportional to 4,366.98, 6,549.98 and 4,110

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Solution

The fourth proportional to 4,366.98, 6,549.98 and 4,110 is: 6,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.98 : 6,549.98 = 4,110 : x
  2. Step 2: Convert to fraction form
    4,366.98/6,549.98 = 4,110/x
  3. Step 3: Cross multiply
    4,366.98x = 6,549.98 × 4,110
  4. Step 4: Simplify right side
    4,366.98x = 26,920,397.25
  5. Step 5: Solve for x
    x = 26,920,397.25/4,366.98
  6. Step 6: Final answer
    x = 6,164.53

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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.