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Finding the Fourth Proportional to 4,472.86, 6,697.92 and 3,740.62

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Solution

The fourth proportional to 4,472.86, 6,697.92 and 3,740.62 is: 5,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.86 : 6,697.92 = 3,740.62 : x
  2. Step 2: Convert to fraction form
    4,472.86/6,697.92 = 3,740.62/x
  3. Step 3: Cross multiply
    4,472.86x = 6,697.92 × 3,740.62
  4. Step 4: Simplify right side
    4,472.86x = 25,054,373.51
  5. Step 5: Solve for x
    x = 25,054,373.51/4,472.86
  6. Step 6: Final answer
    x = 5,601.42

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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.