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Finding the Fourth Proportional to 4,568.14, 6,849.33 and 3,875.05

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Solution

The fourth proportional to 4,568.14, 6,849.33 and 3,875.05 is: 5,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.14 : 6,849.33 = 3,875.05 : x
  2. Step 2: Convert to fraction form
    4,568.14/6,849.33 = 3,875.05/x
  3. Step 3: Cross multiply
    4,568.14x = 6,849.33 × 3,875.05
  4. Step 4: Simplify right side
    4,568.14x = 26,541,496.22
  5. Step 5: Solve for x
    x = 26,541,496.22/4,568.14
  6. Step 6: Final answer
    x = 5,810.13

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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.