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Finding the Fourth Proportional to 3,529.58, 5,294.54 and 897.11

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Solution

The fourth proportional to 3,529.58, 5,294.54 and 897.11 is: 1,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.58 : 5,294.54 = 897.11 : x
  2. Step 2: Convert to fraction form
    3,529.58/5,294.54 = 897.11/x
  3. Step 3: Cross multiply
    3,529.58x = 5,294.54 × 897.11
  4. Step 4: Simplify right side
    3,529.58x = 4,749,773.79
  5. Step 5: Solve for x
    x = 4,749,773.79/3,529.58
  6. Step 6: Final answer
    x = 1,345.71

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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.