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Finding the Fourth Proportional to 3,598.19, 5,397.23 and 965.93

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Solution

The fourth proportional to 3,598.19, 5,397.23 and 965.93 is: 1,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.19 : 5,397.23 = 965.93 : x
  2. Step 2: Convert to fraction form
    3,598.19/5,397.23 = 965.93/x
  3. Step 3: Cross multiply
    3,598.19x = 5,397.23 × 965.93
  4. Step 4: Simplify right side
    3,598.19x = 5,213,321.80
  5. Step 5: Solve for x
    x = 5,213,321.80/3,598.19
  6. Step 6: Final answer
    x = 1,448.87

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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.