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Finding the Fourth Proportional to 3,834.45, 5,750.35 and 1,858.93

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Solution

The fourth proportional to 3,834.45, 5,750.35 and 1,858.93 is: 2,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.45 : 5,750.35 = 1,858.93 : x
  2. Step 2: Convert to fraction form
    3,834.45/5,750.35 = 1,858.93/x
  3. Step 3: Cross multiply
    3,834.45x = 5,750.35 × 1,858.93
  4. Step 4: Simplify right side
    3,834.45x = 10,689,498.13
  5. Step 5: Solve for x
    x = 10,689,498.13/3,834.45
  6. Step 6: Final answer
    x = 2,787.75

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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.