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Finding the Fourth Proportional to 5,347, 8,003.49 and 3,483.19

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Solution

The fourth proportional to 5,347, 8,003.49 and 3,483.19 is: 5,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347 : 8,003.49 = 3,483.19 : x
  2. Step 2: Convert to fraction form
    5,347/8,003.49 = 3,483.19/x
  3. Step 3: Cross multiply
    5,347x = 8,003.49 × 3,483.19
  4. Step 4: Simplify right side
    5,347x = 27,877,676.33
  5. Step 5: Solve for x
    x = 27,877,676.33/5,347
  6. Step 6: Final answer
    x = 5,213.70

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