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Finding the Fourth Proportional to 3,469.48, 4,787.76 and 2,053.42

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Solution

The fourth proportional to 3,469.48, 4,787.76 and 2,053.42 is: 2,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.48 : 4,787.76 = 2,053.42 : x
  2. Step 2: Convert to fraction form
    3,469.48/4,787.76 = 2,053.42/x
  3. Step 3: Cross multiply
    3,469.48x = 4,787.76 × 2,053.42
  4. Step 4: Simplify right side
    3,469.48x = 9,831,282.14
  5. Step 5: Solve for x
    x = 9,831,282.14/3,469.48
  6. Step 6: Final answer
    x = 2,833.65

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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.