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Finding the Fourth Proportional to 4,266.02, 5,881.38 and 3,828.62

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Solution

The fourth proportional to 4,266.02, 5,881.38 and 3,828.62 is: 5,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.02 : 5,881.38 = 3,828.62 : x
  2. Step 2: Convert to fraction form
    4,266.02/5,881.38 = 3,828.62/x
  3. Step 3: Cross multiply
    4,266.02x = 5,881.38 × 3,828.62
  4. Step 4: Simplify right side
    4,266.02x = 22,517,569.10
  5. Step 5: Solve for x
    x = 22,517,569.10/4,266.02
  6. Step 6: Final answer
    x = 5,278.36

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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.