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Finding the Fourth Proportional to 4,766.50, 7,150.20 and 1,303.75

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Solution

The fourth proportional to 4,766.50, 7,150.20 and 1,303.75 is: 1,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.50 : 7,150.20 = 1,303.75 : x
  2. Step 2: Convert to fraction form
    4,766.50/7,150.20 = 1,303.75/x
  3. Step 3: Cross multiply
    4,766.50x = 7,150.20 × 1,303.75
  4. Step 4: Simplify right side
    4,766.50x = 9,322,073.25
  5. Step 5: Solve for x
    x = 9,322,073.25/4,766.50
  6. Step 6: Final answer
    x = 1,955.75

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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.