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Finding the Fourth Proportional to 5,460, 7,534.82 and 2,976

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Solution

The fourth proportional to 5,460, 7,534.82 and 2,976 is: 4,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460 : 7,534.82 = 2,976 : x
  2. Step 2: Convert to fraction form
    5,460/7,534.82 = 2,976/x
  3. Step 3: Cross multiply
    5,460x = 7,534.82 × 2,976
  4. Step 4: Simplify right side
    5,460x = 22,423,624.32
  5. Step 5: Solve for x
    x = 22,423,624.32/5,460
  6. Step 6: Final answer
    x = 4,106.89

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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.