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Finding the Fourth Proportional to 5,046.64, 7,572.14 and 1,757.94

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Solution

The fourth proportional to 5,046.64, 7,572.14 and 1,757.94 is: 2,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.64 : 7,572.14 = 1,757.94 : x
  2. Step 2: Convert to fraction form
    5,046.64/7,572.14 = 1,757.94/x
  3. Step 3: Cross multiply
    5,046.64x = 7,572.14 × 1,757.94
  4. Step 4: Simplify right side
    5,046.64x = 13,311,367.79
  5. Step 5: Solve for x
    x = 13,311,367.79/5,046.64
  6. Step 6: Final answer
    x = 2,637.67

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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.