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Finding the Fourth Proportional to 3,838.80, 5,756.91 and 1,339.35

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Solution

The fourth proportional to 3,838.80, 5,756.91 and 1,339.35 is: 2,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.80 : 5,756.91 = 1,339.35 : x
  2. Step 2: Convert to fraction form
    3,838.80/5,756.91 = 1,339.35/x
  3. Step 3: Cross multiply
    3,838.80x = 5,756.91 × 1,339.35
  4. Step 4: Simplify right side
    3,838.80x = 7,710,517.41
  5. Step 5: Solve for x
    x = 7,710,517.41/3,838.80
  6. Step 6: Final answer
    x = 2,008.57

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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.