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Finding the Fourth Proportional to 4,709.69, 7,064.53 and 1,937.87

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Solution

The fourth proportional to 4,709.69, 7,064.53 and 1,937.87 is: 2,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.69 : 7,064.53 = 1,937.87 : x
  2. Step 2: Convert to fraction form
    4,709.69/7,064.53 = 1,937.87/x
  3. Step 3: Cross multiply
    4,709.69x = 7,064.53 × 1,937.87
  4. Step 4: Simplify right side
    4,709.69x = 13,690,140.75
  5. Step 5: Solve for x
    x = 13,690,140.75/4,709.69
  6. Step 6: Final answer
    x = 2,906.80

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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.