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Finding the Fourth Proportional to 3,859.42, 5,784.49 and 1,776.55

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Solution

The fourth proportional to 3,859.42, 5,784.49 and 1,776.55 is: 2,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.42 : 5,784.49 = 1,776.55 : x
  2. Step 2: Convert to fraction form
    3,859.42/5,784.49 = 1,776.55/x
  3. Step 3: Cross multiply
    3,859.42x = 5,784.49 × 1,776.55
  4. Step 4: Simplify right side
    3,859.42x = 10,276,435.71
  5. Step 5: Solve for x
    x = 10,276,435.71/3,859.42
  6. Step 6: Final answer
    x = 2,662.69

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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.