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Finding the Fourth Proportional to 3,838.87, 5,758.64 and 2,374.95

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Solution

The fourth proportional to 3,838.87, 5,758.64 and 2,374.95 is: 3,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.87 : 5,758.64 = 2,374.95 : x
  2. Step 2: Convert to fraction form
    3,838.87/5,758.64 = 2,374.95/x
  3. Step 3: Cross multiply
    3,838.87x = 5,758.64 × 2,374.95
  4. Step 4: Simplify right side
    3,838.87x = 13,676,465.46
  5. Step 5: Solve for x
    x = 13,676,465.46/3,838.87
  6. Step 6: Final answer
    x = 3,562.63

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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.