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Finding the Fourth Proportional to 6,184, 9,279.04 and 2,896.52

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Solution

The fourth proportional to 6,184, 9,279.04 and 2,896.52 is: 4,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184 : 9,279.04 = 2,896.52 : x
  2. Step 2: Convert to fraction form
    6,184/9,279.04 = 2,896.52/x
  3. Step 3: Cross multiply
    6,184x = 9,279.04 × 2,896.52
  4. Step 4: Simplify right side
    6,184x = 26,876,924.94
  5. Step 5: Solve for x
    x = 26,876,924.94/6,184
  6. Step 6: Final answer
    x = 4,346.20

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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.