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Finding the Fourth Proportional to 3,838.90, 5,297.74 and 3,000.58

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Solution

The fourth proportional to 3,838.90, 5,297.74 and 3,000.58 is: 4,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.90 : 5,297.74 = 3,000.58 : x
  2. Step 2: Convert to fraction form
    3,838.90/5,297.74 = 3,000.58/x
  3. Step 3: Cross multiply
    3,838.90x = 5,297.74 × 3,000.58
  4. Step 4: Simplify right side
    3,838.90x = 15,896,292.69
  5. Step 5: Solve for x
    x = 15,896,292.69/3,838.90
  6. Step 6: Final answer
    x = 4,140.85

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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.