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Finding the Fourth Proportional to 3,246.25, 4,870.20 and 937.75

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Solution

The fourth proportional to 3,246.25, 4,870.20 and 937.75 is: 1,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.25 : 4,870.20 = 937.75 : x
  2. Step 2: Convert to fraction form
    3,246.25/4,870.20 = 937.75/x
  3. Step 3: Cross multiply
    3,246.25x = 4,870.20 × 937.75
  4. Step 4: Simplify right side
    3,246.25x = 4,567,030.05
  5. Step 5: Solve for x
    x = 4,567,030.05/3,246.25
  6. Step 6: Final answer
    x = 1,406.86

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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.