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Finding the Fourth Proportional to 3,404, 4,697.52 and 2,077.49

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Solution

The fourth proportional to 3,404, 4,697.52 and 2,077.49 is: 2,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404 : 4,697.52 = 2,077.49 : x
  2. Step 2: Convert to fraction form
    3,404/4,697.52 = 2,077.49/x
  3. Step 3: Cross multiply
    3,404x = 4,697.52 × 2,077.49
  4. Step 4: Simplify right side
    3,404x = 9,759,050.82
  5. Step 5: Solve for x
    x = 9,759,050.82/3,404
  6. Step 6: Final answer
    x = 2,866.94

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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.