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Finding the Fourth Proportional to 4,741.76, 6,542.21 and 3,061.63

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Solution

The fourth proportional to 4,741.76, 6,542.21 and 3,061.63 is: 4,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.76 : 6,542.21 = 3,061.63 : x
  2. Step 2: Convert to fraction form
    4,741.76/6,542.21 = 3,061.63/x
  3. Step 3: Cross multiply
    4,741.76x = 6,542.21 × 3,061.63
  4. Step 4: Simplify right side
    4,741.76x = 20,029,826.40
  5. Step 5: Solve for x
    x = 20,029,826.40/4,741.76
  6. Step 6: Final answer
    x = 4,224.14

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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.