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Finding the Fourth Proportional to 6,502.41, 8,975.66 and 3,849.84

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Solution

The fourth proportional to 6,502.41, 8,975.66 and 3,849.84 is: 5,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.41 : 8,975.66 = 3,849.84 : x
  2. Step 2: Convert to fraction form
    6,502.41/8,975.66 = 3,849.84/x
  3. Step 3: Cross multiply
    6,502.41x = 8,975.66 × 3,849.84
  4. Step 4: Simplify right side
    6,502.41x = 34,554,835.65
  5. Step 5: Solve for x
    x = 34,554,835.65/6,502.41
  6. Step 6: Final answer
    x = 5,314.16

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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.