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Finding the Fourth Proportional to 4,569.67, 6,300.34 and 3,074.41

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Solution

The fourth proportional to 4,569.67, 6,300.34 and 3,074.41 is: 4,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.67 : 6,300.34 = 3,074.41 : x
  2. Step 2: Convert to fraction form
    4,569.67/6,300.34 = 3,074.41/x
  3. Step 3: Cross multiply
    4,569.67x = 6,300.34 × 3,074.41
  4. Step 4: Simplify right side
    4,569.67x = 19,369,828.30
  5. Step 5: Solve for x
    x = 19,369,828.30/4,569.67
  6. Step 6: Final answer
    x = 4,238.78

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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.