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Finding the Fourth Proportional to 5,489.86, 7,576.03 and 2,972.00

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Solution

The fourth proportional to 5,489.86, 7,576.03 and 2,972.00 is: 4,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.86 : 7,576.03 = 2,972.00 : x
  2. Step 2: Convert to fraction form
    5,489.86/7,576.03 = 2,972.00/x
  3. Step 3: Cross multiply
    5,489.86x = 7,576.03 × 2,972.00
  4. Step 4: Simplify right side
    5,489.86x = 22,515,994.47
  5. Step 5: Solve for x
    x = 22,515,994.47/5,489.86
  6. Step 6: Final answer
    x = 4,101.38

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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.