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Finding the Fourth Proportional to 5,182.76, 7,772.88 and 2,585.09

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Solution

The fourth proportional to 5,182.76, 7,772.88 and 2,585.09 is: 3,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.76 : 7,772.88 = 2,585.09 : x
  2. Step 2: Convert to fraction form
    5,182.76/7,772.88 = 2,585.09/x
  3. Step 3: Cross multiply
    5,182.76x = 7,772.88 × 2,585.09
  4. Step 4: Simplify right side
    5,182.76x = 20,093,594.36
  5. Step 5: Solve for x
    x = 20,093,594.36/5,182.76
  6. Step 6: Final answer
    x = 3,877.01

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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.