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Finding the Fourth Proportional to 3,523.42, 5,285.13 and 926.38

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Solution

The fourth proportional to 3,523.42, 5,285.13 and 926.38 is: 1,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.42 : 5,285.13 = 926.38 : x
  2. Step 2: Convert to fraction form
    3,523.42/5,285.13 = 926.38/x
  3. Step 3: Cross multiply
    3,523.42x = 5,285.13 × 926.38
  4. Step 4: Simplify right side
    3,523.42x = 4,896,038.73
  5. Step 5: Solve for x
    x = 4,896,038.73/3,523.42
  6. Step 6: Final answer
    x = 1,389.57

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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.