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Finding the Fourth Proportional to 5,001.32, 6,900.87 and 3,012

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Solution

The fourth proportional to 5,001.32, 6,900.87 and 3,012 is: 4,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.32 : 6,900.87 = 3,012 : x
  2. Step 2: Convert to fraction form
    5,001.32/6,900.87 = 3,012/x
  3. Step 3: Cross multiply
    5,001.32x = 6,900.87 × 3,012
  4. Step 4: Simplify right side
    5,001.32x = 20,785,420.44
  5. Step 5: Solve for x
    x = 20,785,420.44/5,001.32
  6. Step 6: Final answer
    x = 4,155.99

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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.