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Finding the Fourth Proportional to 3,809.17, 5,256.22 and 2,130.66

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Solution

The fourth proportional to 3,809.17, 5,256.22 and 2,130.66 is: 2,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.17 : 5,256.22 = 2,130.66 : x
  2. Step 2: Convert to fraction form
    3,809.17/5,256.22 = 2,130.66/x
  3. Step 3: Cross multiply
    3,809.17x = 5,256.22 × 2,130.66
  4. Step 4: Simplify right side
    3,809.17x = 11,199,217.71
  5. Step 5: Solve for x
    x = 11,199,217.71/3,809.17
  6. Step 6: Final answer
    x = 2,940.07

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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.