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Finding the Fourth Proportional to 3,492.53, 5,229.54 and 1,844.07

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Solution

The fourth proportional to 3,492.53, 5,229.54 and 1,844.07 is: 2,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.53 : 5,229.54 = 1,844.07 : x
  2. Step 2: Convert to fraction form
    3,492.53/5,229.54 = 1,844.07/x
  3. Step 3: Cross multiply
    3,492.53x = 5,229.54 × 1,844.07
  4. Step 4: Simplify right side
    3,492.53x = 9,643,637.83
  5. Step 5: Solve for x
    x = 9,643,637.83/3,492.53
  6. Step 6: Final answer
    x = 2,761.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.