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Finding the Fourth Proportional to 3,586.68, 5,378.40 and 3,473.28

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Solution

The fourth proportional to 3,586.68, 5,378.40 and 3,473.28 is: 5,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.68 : 5,378.40 = 3,473.28 : x
  2. Step 2: Convert to fraction form
    3,586.68/5,378.40 = 3,473.28/x
  3. Step 3: Cross multiply
    3,586.68x = 5,378.40 × 3,473.28
  4. Step 4: Simplify right side
    3,586.68x = 18,680,689.15
  5. Step 5: Solve for x
    x = 18,680,689.15/3,586.68
  6. Step 6: Final answer
    x = 5,208.35

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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.