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Finding the Fourth Proportional to 4,498.49, 6,747.42 and 1,577

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Solution

The fourth proportional to 4,498.49, 6,747.42 and 1,577 is: 2,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.49 : 6,747.42 = 1,577 : x
  2. Step 2: Convert to fraction form
    4,498.49/6,747.42 = 1,577/x
  3. Step 3: Cross multiply
    4,498.49x = 6,747.42 × 1,577
  4. Step 4: Simplify right side
    4,498.49x = 10,640,681.34
  5. Step 5: Solve for x
    x = 10,640,681.34/4,498.49
  6. Step 6: Final answer
    x = 2,365.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.