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Finding the Fourth Proportional to 3,838.68, 5,756.78 and 2,280.84

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Solution

The fourth proportional to 3,838.68, 5,756.78 and 2,280.84 is: 3,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.68 : 5,756.78 = 2,280.84 : x
  2. Step 2: Convert to fraction form
    3,838.68/5,756.78 = 2,280.84/x
  3. Step 3: Cross multiply
    3,838.68x = 5,756.78 × 2,280.84
  4. Step 4: Simplify right side
    3,838.68x = 13,130,294.10
  5. Step 5: Solve for x
    x = 13,130,294.10/3,838.68
  6. Step 6: Final answer
    x = 3,420.52

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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.