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Finding the Fourth Proportional to 4,219.02, 5,824.98 and 3,655.26

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Solution

The fourth proportional to 4,219.02, 5,824.98 and 3,655.26 is: 5,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.02 : 5,824.98 = 3,655.26 : x
  2. Step 2: Convert to fraction form
    4,219.02/5,824.98 = 3,655.26/x
  3. Step 3: Cross multiply
    4,219.02x = 5,824.98 × 3,655.26
  4. Step 4: Simplify right side
    4,219.02x = 21,291,816.39
  5. Step 5: Solve for x
    x = 21,291,816.39/4,219.02
  6. Step 6: Final answer
    x = 5,046.63

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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.