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Finding the Fourth Proportional to 7,279.74, 10,922.04 and 2,896.02

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Solution

The fourth proportional to 7,279.74, 10,922.04 and 2,896.02 is: 4,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.74 : 10,922.04 = 2,896.02 : x
  2. Step 2: Convert to fraction form
    7,279.74/10,922.04 = 2,896.02/x
  3. Step 3: Cross multiply
    7,279.74x = 10,922.04 × 2,896.02
  4. Step 4: Simplify right side
    7,279.74x = 31,630,446.28
  5. Step 5: Solve for x
    x = 31,630,446.28/7,279.74
  6. Step 6: Final answer
    x = 4,345.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.