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Finding the Fourth Proportional to 3,257.25, 4,886.69 and 948.75

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Solution

The fourth proportional to 3,257.25, 4,886.69 and 948.75 is: 1,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.25 : 4,886.69 = 948.75 : x
  2. Step 2: Convert to fraction form
    3,257.25/4,886.69 = 948.75/x
  3. Step 3: Cross multiply
    3,257.25x = 4,886.69 × 948.75
  4. Step 4: Simplify right side
    3,257.25x = 4,636,242.39
  5. Step 5: Solve for x
    x = 4,636,242.39/3,257.25
  6. Step 6: Final answer
    x = 1,423.36

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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.