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Finding the Fourth Proportional to 3,894.48, 5,376.03 and 2,565.87

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Solution

The fourth proportional to 3,894.48, 5,376.03 and 2,565.87 is: 3,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.48 : 5,376.03 = 2,565.87 : x
  2. Step 2: Convert to fraction form
    3,894.48/5,376.03 = 2,565.87/x
  3. Step 3: Cross multiply
    3,894.48x = 5,376.03 × 2,565.87
  4. Step 4: Simplify right side
    3,894.48x = 13,794,194.10
  5. Step 5: Solve for x
    x = 13,794,194.10/3,894.48
  6. Step 6: Final answer
    x = 3,541.99

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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.