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Finding the Fourth Proportional to 3,849.12, 5,307.12 and 3,052.08

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Solution

The fourth proportional to 3,849.12, 5,307.12 and 3,052.08 is: 4,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.12 : 5,307.12 = 3,052.08 : x
  2. Step 2: Convert to fraction form
    3,849.12/5,307.12 = 3,052.08/x
  3. Step 3: Cross multiply
    3,849.12x = 5,307.12 × 3,052.08
  4. Step 4: Simplify right side
    3,849.12x = 16,197,754.81
  5. Step 5: Solve for x
    x = 16,197,754.81/3,849.12
  6. Step 6: Final answer
    x = 4,208.17

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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.