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Finding the Fourth Proportional to 3,748.36, 5,173.18 and 3,117.78

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Solution

The fourth proportional to 3,748.36, 5,173.18 and 3,117.78 is: 4,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.36 : 5,173.18 = 3,117.78 : x
  2. Step 2: Convert to fraction form
    3,748.36/5,173.18 = 3,117.78/x
  3. Step 3: Cross multiply
    3,748.36x = 5,173.18 × 3,117.78
  4. Step 4: Simplify right side
    3,748.36x = 16,128,837.14
  5. Step 5: Solve for x
    x = 16,128,837.14/3,748.36
  6. Step 6: Final answer
    x = 4,302.91

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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.