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Finding the Fourth Proportional to 3,870.38, 5,805.12 and 1,097.30

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Solution

The fourth proportional to 3,870.38, 5,805.12 and 1,097.30 is: 1,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.38 : 5,805.12 = 1,097.30 : x
  2. Step 2: Convert to fraction form
    3,870.38/5,805.12 = 1,097.30/x
  3. Step 3: Cross multiply
    3,870.38x = 5,805.12 × 1,097.30
  4. Step 4: Simplify right side
    3,870.38x = 6,369,958.18
  5. Step 5: Solve for x
    x = 6,369,958.18/3,870.38
  6. Step 6: Final answer
    x = 1,645.82

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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.