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Finding the Fourth Proportional to 5,787.48, 7,990.38 and 4,464.12

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Solution

The fourth proportional to 5,787.48, 7,990.38 and 4,464.12 is: 6,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.48 : 7,990.38 = 4,464.12 : x
  2. Step 2: Convert to fraction form
    5,787.48/7,990.38 = 4,464.12/x
  3. Step 3: Cross multiply
    5,787.48x = 7,990.38 × 4,464.12
  4. Step 4: Simplify right side
    5,787.48x = 35,670,015.17
  5. Step 5: Solve for x
    x = 35,670,015.17/5,787.48
  6. Step 6: Final answer
    x = 6,163.31

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1.5x scale

Why These Related Problems?

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