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Finding the Fourth Proportional to 3,895.86, 5,841.63 and 1,297.38

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Solution

The fourth proportional to 3,895.86, 5,841.63 and 1,297.38 is: 1,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.86 : 5,841.63 = 1,297.38 : x
  2. Step 2: Convert to fraction form
    3,895.86/5,841.63 = 1,297.38/x
  3. Step 3: Cross multiply
    3,895.86x = 5,841.63 × 1,297.38
  4. Step 4: Simplify right side
    3,895.86x = 7,578,813.93
  5. Step 5: Solve for x
    x = 7,578,813.93/3,895.86
  6. Step 6: Final answer
    x = 1,945.35

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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.