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Finding the Fourth Proportional to 5,644.04, 7,787.74 and 3,253.58

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Solution

The fourth proportional to 5,644.04, 7,787.74 and 3,253.58 is: 4,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.04 : 7,787.74 = 3,253.58 : x
  2. Step 2: Convert to fraction form
    5,644.04/7,787.74 = 3,253.58/x
  3. Step 3: Cross multiply
    5,644.04x = 7,787.74 × 3,253.58
  4. Step 4: Simplify right side
    5,644.04x = 25,338,035.11
  5. Step 5: Solve for x
    x = 25,338,035.11/5,644.04
  6. Step 6: Final answer
    x = 4,489.34

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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.