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Finding the Fourth Proportional to 4,643.80, 6,408.14 and 2,755.56

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Solution

The fourth proportional to 4,643.80, 6,408.14 and 2,755.56 is: 3,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.80 : 6,408.14 = 2,755.56 : x
  2. Step 2: Convert to fraction form
    4,643.80/6,408.14 = 2,755.56/x
  3. Step 3: Cross multiply
    4,643.80x = 6,408.14 × 2,755.56
  4. Step 4: Simplify right side
    4,643.80x = 17,658,014.26
  5. Step 5: Solve for x
    x = 17,658,014.26/4,643.80
  6. Step 6: Final answer
    x = 3,802.49

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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.