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Finding the Fourth Proportional to 4,217.34, 5,821.54 and 3,774.44

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Solution

The fourth proportional to 4,217.34, 5,821.54 and 3,774.44 is: 5,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.34 : 5,821.54 = 3,774.44 : x
  2. Step 2: Convert to fraction form
    4,217.34/5,821.54 = 3,774.44/x
  3. Step 3: Cross multiply
    4,217.34x = 5,821.54 × 3,774.44
  4. Step 4: Simplify right side
    4,217.34x = 21,973,053.44
  5. Step 5: Solve for x
    x = 21,973,053.44/4,217.34
  6. Step 6: Final answer
    x = 5,210.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.