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Finding the Fourth Proportional to 3,579, 4,941.12 and 2,253.84

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Solution

The fourth proportional to 3,579, 4,941.12 and 2,253.84 is: 3,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579 : 4,941.12 = 2,253.84 : x
  2. Step 2: Convert to fraction form
    3,579/4,941.12 = 2,253.84/x
  3. Step 3: Cross multiply
    3,579x = 4,941.12 × 2,253.84
  4. Step 4: Simplify right side
    3,579x = 11,136,493.90
  5. Step 5: Solve for x
    x = 11,136,493.90/3,579
  6. Step 6: Final answer
    x = 3,111.62

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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.