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Finding the Fourth Proportional to 3,897.00, 5,373.76 and 2,569

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Solution

The fourth proportional to 3,897.00, 5,373.76 and 2,569 is: 3,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.00 : 5,373.76 = 2,569 : x
  2. Step 2: Convert to fraction form
    3,897.00/5,373.76 = 2,569/x
  3. Step 3: Cross multiply
    3,897.00x = 5,373.76 × 2,569
  4. Step 4: Simplify right side
    3,897.00x = 13,805,189.44
  5. Step 5: Solve for x
    x = 13,805,189.44/3,897.00
  6. Step 6: Final answer
    x = 3,542.52

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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.