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Finding the Fourth Proportional to 5,456.76, 7,530.34 and 2,972.76

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Solution

The fourth proportional to 5,456.76, 7,530.34 and 2,972.76 is: 4,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.76 : 7,530.34 = 2,972.76 : x
  2. Step 2: Convert to fraction form
    5,456.76/7,530.34 = 2,972.76/x
  3. Step 3: Cross multiply
    5,456.76x = 7,530.34 × 2,972.76
  4. Step 4: Simplify right side
    5,456.76x = 22,385,893.54
  5. Step 5: Solve for x
    x = 22,385,893.54/5,456.76
  6. Step 6: Final answer
    x = 4,102.41

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1.5x scale

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.