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Finding the Fourth Proportional to 5,787.57, 7,986.77 and 3,269.63

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Solution

The fourth proportional to 5,787.57, 7,986.77 and 3,269.63 is: 4,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.57 : 7,986.77 = 3,269.63 : x
  2. Step 2: Convert to fraction form
    5,787.57/7,986.77 = 3,269.63/x
  3. Step 3: Cross multiply
    5,787.57x = 7,986.77 × 3,269.63
  4. Step 4: Simplify right side
    5,787.57x = 26,113,798.67
  5. Step 5: Solve for x
    x = 26,113,798.67/5,787.57
  6. Step 6: Final answer
    x = 4,512.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.