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Finding the Fourth Proportional to 4,570.68, 6,855.89 and 3,952.59

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Solution

The fourth proportional to 4,570.68, 6,855.89 and 3,952.59 is: 5,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.68 : 6,855.89 = 3,952.59 : x
  2. Step 2: Convert to fraction form
    4,570.68/6,855.89 = 3,952.59/x
  3. Step 3: Cross multiply
    4,570.68x = 6,855.89 × 3,952.59
  4. Step 4: Simplify right side
    4,570.68x = 27,098,502.49
  5. Step 5: Solve for x
    x = 27,098,502.49/4,570.68
  6. Step 6: Final answer
    x = 5,928.77

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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.