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Finding the Fourth Proportional to 3,897.84, 5,846.82 and 1,300.78

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Solution

The fourth proportional to 3,897.84, 5,846.82 and 1,300.78 is: 1,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.84 : 5,846.82 = 1,300.78 : x
  2. Step 2: Convert to fraction form
    3,897.84/5,846.82 = 1,300.78/x
  3. Step 3: Cross multiply
    3,897.84x = 5,846.82 × 1,300.78
  4. Step 4: Simplify right side
    3,897.84x = 7,605,428.95
  5. Step 5: Solve for x
    x = 7,605,428.95/3,897.84
  6. Step 6: Final answer
    x = 1,951.19

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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.