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Finding the Fourth Proportional to 3,960.75, 5,465.94 and 2,565.93

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Solution

The fourth proportional to 3,960.75, 5,465.94 and 2,565.93 is: 3,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.75 : 5,465.94 = 2,565.93 : x
  2. Step 2: Convert to fraction form
    3,960.75/5,465.94 = 2,565.93/x
  3. Step 3: Cross multiply
    3,960.75x = 5,465.94 × 2,565.93
  4. Step 4: Simplify right side
    3,960.75x = 14,025,219.42
  5. Step 5: Solve for x
    x = 14,025,219.42/3,960.75
  6. Step 6: Final answer
    x = 3,541.05

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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.