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Finding the Fourth Proportional to 5,579.10, 7,699.08 and 3,222

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Solution

The fourth proportional to 5,579.10, 7,699.08 and 3,222 is: 4,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.10 : 7,699.08 = 3,222 : x
  2. Step 2: Convert to fraction form
    5,579.10/7,699.08 = 3,222/x
  3. Step 3: Cross multiply
    5,579.10x = 7,699.08 × 3,222
  4. Step 4: Simplify right side
    5,579.10x = 24,806,435.76
  5. Step 5: Solve for x
    x = 24,806,435.76/5,579.10
  6. Step 6: Final answer
    x = 4,446.31

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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.