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Finding the Fourth Proportional to 5,644.48, 8,465.07 and 1,695.56

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Solution

The fourth proportional to 5,644.48, 8,465.07 and 1,695.56 is: 2,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.48 : 8,465.07 = 1,695.56 : x
  2. Step 2: Convert to fraction form
    5,644.48/8,465.07 = 1,695.56/x
  3. Step 3: Cross multiply
    5,644.48x = 8,465.07 × 1,695.56
  4. Step 4: Simplify right side
    5,644.48x = 14,353,034.09
  5. Step 5: Solve for x
    x = 14,353,034.09/5,644.48
  6. Step 6: Final answer
    x = 2,542.84

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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.