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Finding the Fourth Proportional to 6,266.40, 8,641.44 and 4,028

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Solution

The fourth proportional to 6,266.40, 8,641.44 and 4,028 is: 5,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.40 : 8,641.44 = 4,028 : x
  2. Step 2: Convert to fraction form
    6,266.40/8,641.44 = 4,028/x
  3. Step 3: Cross multiply
    6,266.40x = 8,641.44 × 4,028
  4. Step 4: Simplify right side
    6,266.40x = 34,807,720.32
  5. Step 5: Solve for x
    x = 34,807,720.32/6,266.40
  6. Step 6: Final answer
    x = 5,554.66

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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.