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Finding the Fourth Proportional to 5,101.35, 7,038.08 and 3,213.09

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Solution

The fourth proportional to 5,101.35, 7,038.08 and 3,213.09 is: 4,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.35 : 7,038.08 = 3,213.09 : x
  2. Step 2: Convert to fraction form
    5,101.35/7,038.08 = 3,213.09/x
  3. Step 3: Cross multiply
    5,101.35x = 7,038.08 × 3,213.09
  4. Step 4: Simplify right side
    5,101.35x = 22,613,949.28
  5. Step 5: Solve for x
    x = 22,613,949.28/5,101.35
  6. Step 6: Final answer
    x = 4,432.94

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