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Finding the Fourth Proportional to 3,868.52, 5,336.13 and 2,295.50

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Solution

The fourth proportional to 3,868.52, 5,336.13 and 2,295.50 is: 3,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.52 : 5,336.13 = 2,295.50 : x
  2. Step 2: Convert to fraction form
    3,868.52/5,336.13 = 2,295.50/x
  3. Step 3: Cross multiply
    3,868.52x = 5,336.13 × 2,295.50
  4. Step 4: Simplify right side
    3,868.52x = 12,249,086.42
  5. Step 5: Solve for x
    x = 12,249,086.42/3,868.52
  6. Step 6: Final answer
    x = 3,166.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.