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Finding the Fourth Proportional to 3,823.46, 5,733.24 and 1,484.13

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Solution

The fourth proportional to 3,823.46, 5,733.24 and 1,484.13 is: 2,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.46 : 5,733.24 = 1,484.13 : x
  2. Step 2: Convert to fraction form
    3,823.46/5,733.24 = 1,484.13/x
  3. Step 3: Cross multiply
    3,823.46x = 5,733.24 × 1,484.13
  4. Step 4: Simplify right side
    3,823.46x = 8,508,881.45
  5. Step 5: Solve for x
    x = 8,508,881.45/3,823.46
  6. Step 6: Final answer
    x = 2,225.44

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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.