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Finding the Fourth Proportional to 5,712.41, 7,877.06 and 4,451.23

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Solution

The fourth proportional to 5,712.41, 7,877.06 and 4,451.23 is: 6,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.41 : 7,877.06 = 4,451.23 : x
  2. Step 2: Convert to fraction form
    5,712.41/7,877.06 = 4,451.23/x
  3. Step 3: Cross multiply
    5,712.41x = 7,877.06 × 4,451.23
  4. Step 4: Simplify right side
    5,712.41x = 35,062,605.78
  5. Step 5: Solve for x
    x = 35,062,605.78/5,712.41
  6. Step 6: Final answer
    x = 6,137.97

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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.