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Finding the Fourth Proportional to 4,739.77, 6,542.76 and 3,061.30

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Solution

The fourth proportional to 4,739.77, 6,542.76 and 3,061.30 is: 4,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.77 : 6,542.76 = 3,061.30 : x
  2. Step 2: Convert to fraction form
    4,739.77/6,542.76 = 3,061.30/x
  3. Step 3: Cross multiply
    4,739.77x = 6,542.76 × 3,061.30
  4. Step 4: Simplify right side
    4,739.77x = 20,029,351.19
  5. Step 5: Solve for x
    x = 20,029,351.19/4,739.77
  6. Step 6: Final answer
    x = 4,225.81

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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.