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Finding the Fourth Proportional to 4,217.61, 5,821.94 and 3,774.74

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Solution

The fourth proportional to 4,217.61, 5,821.94 and 3,774.74 is: 5,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.61 : 5,821.94 = 3,774.74 : x
  2. Step 2: Convert to fraction form
    4,217.61/5,821.94 = 3,774.74/x
  3. Step 3: Cross multiply
    4,217.61x = 5,821.94 × 3,774.74
  4. Step 4: Simplify right side
    4,217.61x = 21,976,333.79
  5. Step 5: Solve for x
    x = 21,976,333.79/4,217.61
  6. Step 6: Final answer
    x = 5,210.61

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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.