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Finding the Fourth Proportional to 4,930.74, 7,395.03 and 3,470.58

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Solution

The fourth proportional to 4,930.74, 7,395.03 and 3,470.58 is: 5,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.74 : 7,395.03 = 3,470.58 : x
  2. Step 2: Convert to fraction form
    4,930.74/7,395.03 = 3,470.58/x
  3. Step 3: Cross multiply
    4,930.74x = 7,395.03 × 3,470.58
  4. Step 4: Simplify right side
    4,930.74x = 25,665,043.22
  5. Step 5: Solve for x
    x = 25,665,043.22/4,930.74
  6. Step 6: Final answer
    x = 5,205.11

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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.