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Finding the Fourth Proportional to 4,924, 6,800.96 and 3,349.44

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Solution

The fourth proportional to 4,924, 6,800.96 and 3,349.44 is: 4,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924 : 6,800.96 = 3,349.44 : x
  2. Step 2: Convert to fraction form
    4,924/6,800.96 = 3,349.44/x
  3. Step 3: Cross multiply
    4,924x = 6,800.96 × 3,349.44
  4. Step 4: Simplify right side
    4,924x = 22,779,407.46
  5. Step 5: Solve for x
    x = 22,779,407.46/4,924
  6. Step 6: Final answer
    x = 4,626.20

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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.