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Finding the Fourth Proportional to 3,903.26, 5,854.95 and 981.59

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Solution

The fourth proportional to 3,903.26, 5,854.95 and 981.59 is: 1,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.26 : 5,854.95 = 981.59 : x
  2. Step 2: Convert to fraction form
    3,903.26/5,854.95 = 981.59/x
  3. Step 3: Cross multiply
    3,903.26x = 5,854.95 × 981.59
  4. Step 4: Simplify right side
    3,903.26x = 5,747,131.10
  5. Step 5: Solve for x
    x = 5,747,131.10/3,903.26
  6. Step 6: Final answer
    x = 1,472.39

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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.