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Finding the Fourth Proportional to 3,776.75, 5,205.86 and 2,565.06

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Solution

The fourth proportional to 3,776.75, 5,205.86 and 2,565.06 is: 3,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.75 : 5,205.86 = 2,565.06 : x
  2. Step 2: Convert to fraction form
    3,776.75/5,205.86 = 2,565.06/x
  3. Step 3: Cross multiply
    3,776.75x = 5,205.86 × 2,565.06
  4. Step 4: Simplify right side
    3,776.75x = 13,353,330.43
  5. Step 5: Solve for x
    x = 13,353,330.43/3,776.75
  6. Step 6: Final answer
    x = 3,535.66

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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.