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Finding the Fourth Proportional to 4,496.68, 6,205.12 and 2,507.12

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Solution

The fourth proportional to 4,496.68, 6,205.12 and 2,507.12 is: 3,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.68 : 6,205.12 = 2,507.12 : x
  2. Step 2: Convert to fraction form
    4,496.68/6,205.12 = 2,507.12/x
  3. Step 3: Cross multiply
    4,496.68x = 6,205.12 × 2,507.12
  4. Step 4: Simplify right side
    4,496.68x = 15,556,949.43
  5. Step 5: Solve for x
    x = 15,556,949.43/4,496.68
  6. Step 6: Final answer
    x = 3,459.66

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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.