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Finding the Fourth Proportional to 5,264.57, 7,897.28 and 1,754.45

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Solution

The fourth proportional to 5,264.57, 7,897.28 and 1,754.45 is: 2,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.57 : 7,897.28 = 1,754.45 : x
  2. Step 2: Convert to fraction form
    5,264.57/7,897.28 = 1,754.45/x
  3. Step 3: Cross multiply
    5,264.57x = 7,897.28 × 1,754.45
  4. Step 4: Simplify right side
    5,264.57x = 13,855,382.90
  5. Step 5: Solve for x
    x = 13,855,382.90/5,264.57
  6. Step 6: Final answer
    x = 2,631.82

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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.