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Finding the Fourth Proportional to 5,644.32, 7,787.24 and 3,285.96

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Solution

The fourth proportional to 5,644.32, 7,787.24 and 3,285.96 is: 4,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.32 : 7,787.24 = 3,285.96 : x
  2. Step 2: Convert to fraction form
    5,644.32/7,787.24 = 3,285.96/x
  3. Step 3: Cross multiply
    5,644.32x = 7,787.24 × 3,285.96
  4. Step 4: Simplify right side
    5,644.32x = 25,588,559.15
  5. Step 5: Solve for x
    x = 25,588,559.15/5,644.32
  6. Step 6: Final answer
    x = 4,533.51

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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.