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Finding the Fourth Proportional to 4,296.38, 5,929.98 and 3,462.62

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Solution

The fourth proportional to 4,296.38, 5,929.98 and 3,462.62 is: 4,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.38 : 5,929.98 = 3,462.62 : x
  2. Step 2: Convert to fraction form
    4,296.38/5,929.98 = 3,462.62/x
  3. Step 3: Cross multiply
    4,296.38x = 5,929.98 × 3,462.62
  4. Step 4: Simplify right side
    4,296.38x = 20,533,267.35
  5. Step 5: Solve for x
    x = 20,533,267.35/4,296.38
  6. Step 6: Final answer
    x = 4,779.20

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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.