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Finding the Fourth Proportional to 3,838.79, 5,760.32 and 3,559.95

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Solution

The fourth proportional to 3,838.79, 5,760.32 and 3,559.95 is: 5,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.79 : 5,760.32 = 3,559.95 : x
  2. Step 2: Convert to fraction form
    3,838.79/5,760.32 = 3,559.95/x
  3. Step 3: Cross multiply
    3,838.79x = 5,760.32 × 3,559.95
  4. Step 4: Simplify right side
    3,838.79x = 20,506,433.38
  5. Step 5: Solve for x
    x = 20,506,433.38/3,838.79
  6. Step 6: Final answer
    x = 5,341.90

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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.