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Finding the Fourth Proportional to 3,447.16, 4,758.14 and 3,270.84

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Solution

The fourth proportional to 3,447.16, 4,758.14 and 3,270.84 is: 4,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.16 : 4,758.14 = 3,270.84 : x
  2. Step 2: Convert to fraction form
    3,447.16/4,758.14 = 3,270.84/x
  3. Step 3: Cross multiply
    3,447.16x = 4,758.14 × 3,270.84
  4. Step 4: Simplify right side
    3,447.16x = 15,563,114.64
  5. Step 5: Solve for x
    x = 15,563,114.64/3,447.16
  6. Step 6: Final answer
    x = 4,514.76

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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.