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Finding the Fourth Proportional to 3,406.63, 4,700.32 and 2,079.85

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Solution

The fourth proportional to 3,406.63, 4,700.32 and 2,079.85 is: 2,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.63 : 4,700.32 = 2,079.85 : x
  2. Step 2: Convert to fraction form
    3,406.63/4,700.32 = 2,079.85/x
  3. Step 3: Cross multiply
    3,406.63x = 4,700.32 × 2,079.85
  4. Step 4: Simplify right side
    3,406.63x = 9,775,960.55
  5. Step 5: Solve for x
    x = 9,775,960.55/3,406.63
  6. Step 6: Final answer
    x = 2,869.69

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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.