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Finding the Fourth Proportional to 3,503.72, 5,253.78 and 1,038.23

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Solution

The fourth proportional to 3,503.72, 5,253.78 and 1,038.23 is: 1,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.72 : 5,253.78 = 1,038.23 : x
  2. Step 2: Convert to fraction form
    3,503.72/5,253.78 = 1,038.23/x
  3. Step 3: Cross multiply
    3,503.72x = 5,253.78 × 1,038.23
  4. Step 4: Simplify right side
    3,503.72x = 5,454,632.01
  5. Step 5: Solve for x
    x = 5,454,632.01/3,503.72
  6. Step 6: Final answer
    x = 1,556.81

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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.