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Finding the Fourth Proportional to 3,895.88, 5,843.76 and 974.18

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Solution

The fourth proportional to 3,895.88, 5,843.76 and 974.18 is: 1,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.88 : 5,843.76 = 974.18 : x
  2. Step 2: Convert to fraction form
    3,895.88/5,843.76 = 974.18/x
  3. Step 3: Cross multiply
    3,895.88x = 5,843.76 × 974.18
  4. Step 4: Simplify right side
    3,895.88x = 5,692,874.12
  5. Step 5: Solve for x
    x = 5,692,874.12/3,895.88
  6. Step 6: Final answer
    x = 1,461.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.