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Finding the Fourth Proportional to 4,564.88, 6,290.24 and 3,149

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Solution

The fourth proportional to 4,564.88, 6,290.24 and 3,149 is: 4,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.88 : 6,290.24 = 3,149 : x
  2. Step 2: Convert to fraction form
    4,564.88/6,290.24 = 3,149/x
  3. Step 3: Cross multiply
    4,564.88x = 6,290.24 × 3,149
  4. Step 4: Simplify right side
    4,564.88x = 19,807,965.76
  5. Step 5: Solve for x
    x = 19,807,965.76/4,564.88
  6. Step 6: Final answer
    x = 4,339.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.