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Finding the Fourth Proportional to 3,483.54, 5,224.01 and 1,402.83

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Solution

The fourth proportional to 3,483.54, 5,224.01 and 1,402.83 is: 2,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.54 : 5,224.01 = 1,402.83 : x
  2. Step 2: Convert to fraction form
    3,483.54/5,224.01 = 1,402.83/x
  3. Step 3: Cross multiply
    3,483.54x = 5,224.01 × 1,402.83
  4. Step 4: Simplify right side
    3,483.54x = 7,328,390.93
  5. Step 5: Solve for x
    x = 7,328,390.93/3,483.54
  6. Step 6: Final answer
    x = 2,103.72

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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.