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Finding the Fourth Proportional to 3,484.92, 5,225.74 and 2,024.48

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Solution

The fourth proportional to 3,484.92, 5,225.74 and 2,024.48 is: 3,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.92 : 5,225.74 = 2,024.48 : x
  2. Step 2: Convert to fraction form
    3,484.92/5,225.74 = 2,024.48/x
  3. Step 3: Cross multiply
    3,484.92x = 5,225.74 × 2,024.48
  4. Step 4: Simplify right side
    3,484.92x = 10,579,406.12
  5. Step 5: Solve for x
    x = 10,579,406.12/3,484.92
  6. Step 6: Final answer
    x = 3,035.77

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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.