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Finding the Fourth Proportional to 3,821.95, 5,733.23 and 1,630.70

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Solution

The fourth proportional to 3,821.95, 5,733.23 and 1,630.70 is: 2,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.95 : 5,733.23 = 1,630.70 : x
  2. Step 2: Convert to fraction form
    3,821.95/5,733.23 = 1,630.70/x
  3. Step 3: Cross multiply
    3,821.95x = 5,733.23 × 1,630.70
  4. Step 4: Simplify right side
    3,821.95x = 9,349,141.34
  5. Step 5: Solve for x
    x = 9,349,141.34/3,821.95
  6. Step 6: Final answer
    x = 2,446.17

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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.