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Finding the Fourth Proportional to 3,870.10, 5,805.06 and 948.39

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Solution

The fourth proportional to 3,870.10, 5,805.06 and 948.39 is: 1,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.10 : 5,805.06 = 948.39 : x
  2. Step 2: Convert to fraction form
    3,870.10/5,805.06 = 948.39/x
  3. Step 3: Cross multiply
    3,870.10x = 5,805.06 × 948.39
  4. Step 4: Simplify right side
    3,870.10x = 5,505,460.85
  5. Step 5: Solve for x
    x = 5,505,460.85/3,870.10
  6. Step 6: Final answer
    x = 1,422.56

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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.