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Finding the Fourth Proportional to 3,901.93, 5,854.62 and 2,052.63

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Solution

The fourth proportional to 3,901.93, 5,854.62 and 2,052.63 is: 3,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.93 : 5,854.62 = 2,052.63 : x
  2. Step 2: Convert to fraction form
    3,901.93/5,854.62 = 2,052.63/x
  3. Step 3: Cross multiply
    3,901.93x = 5,854.62 × 2,052.63
  4. Step 4: Simplify right side
    3,901.93x = 12,017,368.65
  5. Step 5: Solve for x
    x = 12,017,368.65/3,901.93
  6. Step 6: Final answer
    x = 3,079.85

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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.