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Finding the Fourth Proportional to 3,709.47, 5,570.57 and 3,293.94

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Solution

The fourth proportional to 3,709.47, 5,570.57 and 3,293.94 is: 4,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.47 : 5,570.57 = 3,293.94 : x
  2. Step 2: Convert to fraction form
    3,709.47/5,570.57 = 3,293.94/x
  3. Step 3: Cross multiply
    3,709.47x = 5,570.57 × 3,293.94
  4. Step 4: Simplify right side
    3,709.47x = 18,349,123.35
  5. Step 5: Solve for x
    x = 18,349,123.35/3,709.47
  6. Step 6: Final answer
    x = 4,946.56

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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.