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Finding the Fourth Proportional to 4,052.64, 6,078.95 and 1,585.73

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Solution

The fourth proportional to 4,052.64, 6,078.95 and 1,585.73 is: 2,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.64 : 6,078.95 = 1,585.73 : x
  2. Step 2: Convert to fraction form
    4,052.64/6,078.95 = 1,585.73/x
  3. Step 3: Cross multiply
    4,052.64x = 6,078.95 × 1,585.73
  4. Step 4: Simplify right side
    4,052.64x = 9,639,573.38
  5. Step 5: Solve for x
    x = 9,639,573.38/4,052.64
  6. Step 6: Final answer
    x = 2,378.59

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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.