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Finding the Fourth Proportional to 4,528.65, 6,789.33 and 4,164.15

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Solution

The fourth proportional to 4,528.65, 6,789.33 and 4,164.15 is: 6,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528.65 : 6,789.33 = 4,164.15 : x
  2. Step 2: Convert to fraction form
    4,528.65/6,789.33 = 4,164.15/x
  3. Step 3: Cross multiply
    4,528.65x = 6,789.33 × 4,164.15
  4. Step 4: Simplify right side
    4,528.65x = 28,271,788.52
  5. Step 5: Solve for x
    x = 28,271,788.52/4,528.65
  6. Step 6: Final answer
    x = 6,242.87

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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.