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Finding the Fourth Proportional to 3,870.56, 5,805.66 and 1,097.48

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Solution

The fourth proportional to 3,870.56, 5,805.66 and 1,097.48 is: 1,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.56 : 5,805.66 = 1,097.48 : x
  2. Step 2: Convert to fraction form
    3,870.56/5,805.66 = 1,097.48/x
  3. Step 3: Cross multiply
    3,870.56x = 5,805.66 × 1,097.48
  4. Step 4: Simplify right side
    3,870.56x = 6,371,595.74
  5. Step 5: Solve for x
    x = 6,371,595.74/3,870.56
  6. Step 6: Final answer
    x = 1,646.17

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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.