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Finding the Fourth Proportional to 3,597.66, 5,394.30 and 1,403.82

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Solution

The fourth proportional to 3,597.66, 5,394.30 and 1,403.82 is: 2,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.66 : 5,394.30 = 1,403.82 : x
  2. Step 2: Convert to fraction form
    3,597.66/5,394.30 = 1,403.82/x
  3. Step 3: Cross multiply
    3,597.66x = 5,394.30 × 1,403.82
  4. Step 4: Simplify right side
    3,597.66x = 7,572,626.23
  5. Step 5: Solve for x
    x = 7,572,626.23/3,597.66
  6. Step 6: Final answer
    x = 2,104.88

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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.