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Finding the Fourth Proportional to 3,617.07, 4,989.84 and 2,359.22

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Solution

The fourth proportional to 3,617.07, 4,989.84 and 2,359.22 is: 3,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.07 : 4,989.84 = 2,359.22 : x
  2. Step 2: Convert to fraction form
    3,617.07/4,989.84 = 2,359.22/x
  3. Step 3: Cross multiply
    3,617.07x = 4,989.84 × 2,359.22
  4. Step 4: Simplify right side
    3,617.07x = 11,772,105.38
  5. Step 5: Solve for x
    x = 11,772,105.38/3,617.07
  6. Step 6: Final answer
    x = 3,254.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.