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Finding the Fourth Proportional to 3,246.14, 4,868.75 and 1,054.89

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Solution

The fourth proportional to 3,246.14, 4,868.75 and 1,054.89 is: 1,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.14 : 4,868.75 = 1,054.89 : x
  2. Step 2: Convert to fraction form
    3,246.14/4,868.75 = 1,054.89/x
  3. Step 3: Cross multiply
    3,246.14x = 4,868.75 × 1,054.89
  4. Step 4: Simplify right side
    3,246.14x = 5,135,995.69
  5. Step 5: Solve for x
    x = 5,135,995.69/3,246.14
  6. Step 6: Final answer
    x = 1,582.19

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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.