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Finding the Fourth Proportional to 4,651.74, 6,977.72 and 3,724.98

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Solution

The fourth proportional to 4,651.74, 6,977.72 and 3,724.98 is: 5,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.74 : 6,977.72 = 3,724.98 : x
  2. Step 2: Convert to fraction form
    4,651.74/6,977.72 = 3,724.98/x
  3. Step 3: Cross multiply
    4,651.74x = 6,977.72 × 3,724.98
  4. Step 4: Simplify right side
    4,651.74x = 25,991,848.82
  5. Step 5: Solve for x
    x = 25,991,848.82/4,651.74
  6. Step 6: Final answer
    x = 5,587.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.