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Finding the Fourth Proportional to 3,491.47, 4,815.34 and 2,370.57

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Solution

The fourth proportional to 3,491.47, 4,815.34 and 2,370.57 is: 3,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.47 : 4,815.34 = 2,370.57 : x
  2. Step 2: Convert to fraction form
    3,491.47/4,815.34 = 2,370.57/x
  3. Step 3: Cross multiply
    3,491.47x = 4,815.34 × 2,370.57
  4. Step 4: Simplify right side
    3,491.47x = 11,415,100.54
  5. Step 5: Solve for x
    x = 11,415,100.54/3,491.47
  6. Step 6: Final answer
    x = 3,269.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.