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Finding the Fourth Proportional to 3,897.80, 5,846.65 and 1,265.39

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Solution

The fourth proportional to 3,897.80, 5,846.65 and 1,265.39 is: 1,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.80 : 5,846.65 = 1,265.39 : x
  2. Step 2: Convert to fraction form
    3,897.80/5,846.65 = 1,265.39/x
  3. Step 3: Cross multiply
    3,897.80x = 5,846.65 × 1,265.39
  4. Step 4: Simplify right side
    3,897.80x = 7,398,303.90
  5. Step 5: Solve for x
    x = 7,398,303.90/3,897.80
  6. Step 6: Final answer
    x = 1,898.07

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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.