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Finding the Fourth Proportional to 3,595.80, 5,381.55 and 3,158.40

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Solution

The fourth proportional to 3,595.80, 5,381.55 and 3,158.40 is: 4,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.80 : 5,381.55 = 3,158.40 : x
  2. Step 2: Convert to fraction form
    3,595.80/5,381.55 = 3,158.40/x
  3. Step 3: Cross multiply
    3,595.80x = 5,381.55 × 3,158.40
  4. Step 4: Simplify right side
    3,595.80x = 16,997,087.52
  5. Step 5: Solve for x
    x = 16,997,087.52/3,595.80
  6. Step 6: Final answer
    x = 4,726.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.