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Finding the Fourth Proportional to 3,406.32, 4,699.82 and 2,079.94

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Solution

The fourth proportional to 3,406.32, 4,699.82 and 2,079.94 is: 2,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.32 : 4,699.82 = 2,079.94 : x
  2. Step 2: Convert to fraction form
    3,406.32/4,699.82 = 2,079.94/x
  3. Step 3: Cross multiply
    3,406.32x = 4,699.82 × 2,079.94
  4. Step 4: Simplify right side
    3,406.32x = 9,775,343.61
  5. Step 5: Solve for x
    x = 9,775,343.61/3,406.32
  6. Step 6: Final answer
    x = 2,869.77

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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.