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Finding the Fourth Proportional to 3,264.57, 4,897.40 and 1,073.25

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Solution

The fourth proportional to 3,264.57, 4,897.40 and 1,073.25 is: 1,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.57 : 4,897.40 = 1,073.25 : x
  2. Step 2: Convert to fraction form
    3,264.57/4,897.40 = 1,073.25/x
  3. Step 3: Cross multiply
    3,264.57x = 4,897.40 × 1,073.25
  4. Step 4: Simplify right side
    3,264.57x = 5,256,129.18
  5. Step 5: Solve for x
    x = 5,256,129.18/3,264.57
  6. Step 6: Final answer
    x = 1,610.05

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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.