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Finding the Fourth Proportional to 4,296.24, 5,929.02 and 2,617.38

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Solution

The fourth proportional to 4,296.24, 5,929.02 and 2,617.38 is: 3,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.24 : 5,929.02 = 2,617.38 : x
  2. Step 2: Convert to fraction form
    4,296.24/5,929.02 = 2,617.38/x
  3. Step 3: Cross multiply
    4,296.24x = 5,929.02 × 2,617.38
  4. Step 4: Simplify right side
    4,296.24x = 15,518,498.37
  5. Step 5: Solve for x
    x = 15,518,498.37/4,296.24
  6. Step 6: Final answer
    x = 3,612.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.