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Finding the Fourth Proportional to 5,787.87, 8,637.42 and 5,164.98

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Solution

The fourth proportional to 5,787.87, 8,637.42 and 5,164.98 is: 7,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.87 : 8,637.42 = 5,164.98 : x
  2. Step 2: Convert to fraction form
    5,787.87/8,637.42 = 5,164.98/x
  3. Step 3: Cross multiply
    5,787.87x = 8,637.42 × 5,164.98
  4. Step 4: Simplify right side
    5,787.87x = 44,612,101.55
  5. Step 5: Solve for x
    x = 44,612,101.55/5,787.87
  6. Step 6: Final answer
    x = 7,707.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.