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Finding the Fourth Proportional to 5,810.57, 8,713.12 and 2,110.19

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Solution

The fourth proportional to 5,810.57, 8,713.12 and 2,110.19 is: 3,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.57 : 8,713.12 = 2,110.19 : x
  2. Step 2: Convert to fraction form
    5,810.57/8,713.12 = 2,110.19/x
  3. Step 3: Cross multiply
    5,810.57x = 8,713.12 × 2,110.19
  4. Step 4: Simplify right side
    5,810.57x = 18,386,328.14
  5. Step 5: Solve for x
    x = 18,386,328.14/5,810.57
  6. Step 6: Final answer
    x = 3,164.29

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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.