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Finding the Fourth Proportional to 3,729.98, 5,594.94 and 956.66

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Solution

The fourth proportional to 3,729.98, 5,594.94 and 956.66 is: 1,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.98 : 5,594.94 = 956.66 : x
  2. Step 2: Convert to fraction form
    3,729.98/5,594.94 = 956.66/x
  3. Step 3: Cross multiply
    3,729.98x = 5,594.94 × 956.66
  4. Step 4: Simplify right side
    3,729.98x = 5,352,427.33
  5. Step 5: Solve for x
    x = 5,352,427.33/3,729.98
  6. Step 6: Final answer
    x = 1,434.98

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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.