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Finding the Fourth Proportional to 3,595.80, 5,393.94 and 963.36

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Solution

The fourth proportional to 3,595.80, 5,393.94 and 963.36 is: 1,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.80 : 5,393.94 = 963.36 : x
  2. Step 2: Convert to fraction form
    3,595.80/5,393.94 = 963.36/x
  3. Step 3: Cross multiply
    3,595.80x = 5,393.94 × 963.36
  4. Step 4: Simplify right side
    3,595.80x = 5,196,306.04
  5. Step 5: Solve for x
    x = 5,196,306.04/3,595.80
  6. Step 6: Final answer
    x = 1,445.10

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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.