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Finding the Fourth Proportional to 5,641.68, 8,460.18 and 2,131.07

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Solution

The fourth proportional to 5,641.68, 8,460.18 and 2,131.07 is: 3,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.68 : 8,460.18 = 2,131.07 : x
  2. Step 2: Convert to fraction form
    5,641.68/8,460.18 = 2,131.07/x
  3. Step 3: Cross multiply
    5,641.68x = 8,460.18 × 2,131.07
  4. Step 4: Simplify right side
    5,641.68x = 18,029,256.94
  5. Step 5: Solve for x
    x = 18,029,256.94/5,641.68
  6. Step 6: Final answer
    x = 3,195.72

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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.