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Finding the Fourth Proportional to 3,257.71, 4,498.22 and 3,008.93

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Solution

The fourth proportional to 3,257.71, 4,498.22 and 3,008.93 is: 4,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.71 : 4,498.22 = 3,008.93 : x
  2. Step 2: Convert to fraction form
    3,257.71/4,498.22 = 3,008.93/x
  3. Step 3: Cross multiply
    3,257.71x = 4,498.22 × 3,008.93
  4. Step 4: Simplify right side
    3,257.71x = 13,534,829.10
  5. Step 5: Solve for x
    x = 13,534,829.10/3,257.71
  6. Step 6: Final answer
    x = 4,154.71

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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.