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Finding the Fourth Proportional to 4,210.18, 5,812.54 and 3,743.13

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Solution

The fourth proportional to 4,210.18, 5,812.54 and 3,743.13 is: 5,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.18 : 5,812.54 = 3,743.13 : x
  2. Step 2: Convert to fraction form
    4,210.18/5,812.54 = 3,743.13/x
  3. Step 3: Cross multiply
    4,210.18x = 5,812.54 × 3,743.13
  4. Step 4: Simplify right side
    4,210.18x = 21,757,093.65
  5. Step 5: Solve for x
    x = 21,757,093.65/4,210.18
  6. Step 6: Final answer
    x = 5,167.74

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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.