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Finding the Fourth Proportional to 4,822.98, 6,656.07 and 2,832.81

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Solution

The fourth proportional to 4,822.98, 6,656.07 and 2,832.81 is: 3,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.98 : 6,656.07 = 2,832.81 : x
  2. Step 2: Convert to fraction form
    4,822.98/6,656.07 = 2,832.81/x
  3. Step 3: Cross multiply
    4,822.98x = 6,656.07 × 2,832.81
  4. Step 4: Simplify right side
    4,822.98x = 18,855,381.66
  5. Step 5: Solve for x
    x = 18,855,381.66/4,822.98
  6. Step 6: Final answer
    x = 3,909.49

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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.