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Finding the Fourth Proportional to 5,055.16, 6,972.84 and 3,264.96

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Solution

The fourth proportional to 5,055.16, 6,972.84 and 3,264.96 is: 4,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.16 : 6,972.84 = 3,264.96 : x
  2. Step 2: Convert to fraction form
    5,055.16/6,972.84 = 3,264.96/x
  3. Step 3: Cross multiply
    5,055.16x = 6,972.84 × 3,264.96
  4. Step 4: Simplify right side
    5,055.16x = 22,766,043.69
  5. Step 5: Solve for x
    x = 22,766,043.69/5,055.16
  6. Step 6: Final answer
    x = 4,503.53

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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.