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Finding the Fourth Proportional to 3,465.10, 5,200.95 and 3,223.78

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Solution

The fourth proportional to 3,465.10, 5,200.95 and 3,223.78 is: 4,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.10 : 5,200.95 = 3,223.78 : x
  2. Step 2: Convert to fraction form
    3,465.10/5,200.95 = 3,223.78/x
  3. Step 3: Cross multiply
    3,465.10x = 5,200.95 × 3,223.78
  4. Step 4: Simplify right side
    3,465.10x = 16,766,718.59
  5. Step 5: Solve for x
    x = 16,766,718.59/3,465.10
  6. Step 6: Final answer
    x = 4,838.74

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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.