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Finding the Fourth Proportional to 5,264.53, 7,897.22 and 3,073.48

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Solution

The fourth proportional to 5,264.53, 7,897.22 and 3,073.48 is: 4,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.53 : 7,897.22 = 3,073.48 : x
  2. Step 2: Convert to fraction form
    5,264.53/7,897.22 = 3,073.48/x
  3. Step 3: Cross multiply
    5,264.53x = 7,897.22 × 3,073.48
  4. Step 4: Simplify right side
    5,264.53x = 24,271,932.36
  5. Step 5: Solve for x
    x = 24,271,932.36/5,264.53
  6. Step 6: Final answer
    x = 4,610.47

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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.