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Finding the Fourth Proportional to 4,729.50, 6,528.33 and 2,866.50

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Solution

The fourth proportional to 4,729.50, 6,528.33 and 2,866.50 is: 3,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.50 : 6,528.33 = 2,866.50 : x
  2. Step 2: Convert to fraction form
    4,729.50/6,528.33 = 2,866.50/x
  3. Step 3: Cross multiply
    4,729.50x = 6,528.33 × 2,866.50
  4. Step 4: Simplify right side
    4,729.50x = 18,713,457.95
  5. Step 5: Solve for x
    x = 18,713,457.95/4,729.50
  6. Step 6: Final answer
    x = 3,956.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.