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Finding the Fourth Proportional to 3,893.68, 5,369.65 and 2,565.08

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Solution

The fourth proportional to 3,893.68, 5,369.65 and 2,565.08 is: 3,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.68 : 5,369.65 = 2,565.08 : x
  2. Step 2: Convert to fraction form
    3,893.68/5,369.65 = 2,565.08/x
  3. Step 3: Cross multiply
    3,893.68x = 5,369.65 × 2,565.08
  4. Step 4: Simplify right side
    3,893.68x = 13,773,581.82
  5. Step 5: Solve for x
    x = 13,773,581.82/3,893.68
  6. Step 6: Final answer
    x = 3,537.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.