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Finding the Fourth Proportional to 4,275.65, 5,896.67 and 3,283.00

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Solution

The fourth proportional to 4,275.65, 5,896.67 and 3,283.00 is: 4,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.65 : 5,896.67 = 3,283.00 : x
  2. Step 2: Convert to fraction form
    4,275.65/5,896.67 = 3,283.00/x
  3. Step 3: Cross multiply
    4,275.65x = 5,896.67 × 3,283.00
  4. Step 4: Simplify right side
    4,275.65x = 19,358,736.45
  5. Step 5: Solve for x
    x = 19,358,736.45/4,275.65
  6. Step 6: Final answer
    x = 4,527.67

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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.