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Finding the Fourth Proportional to 4,365.96, 6,553.78 and 2,174.10

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Solution

The fourth proportional to 4,365.96, 6,553.78 and 2,174.10 is: 3,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.96 : 6,553.78 = 2,174.10 : x
  2. Step 2: Convert to fraction form
    4,365.96/6,553.78 = 2,174.10/x
  3. Step 3: Cross multiply
    4,365.96x = 6,553.78 × 2,174.10
  4. Step 4: Simplify right side
    4,365.96x = 14,248,573.10
  5. Step 5: Solve for x
    x = 14,248,573.10/4,365.96
  6. Step 6: Final answer
    x = 3,263.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.