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Finding the Fourth Proportional to 3,574.06, 4,930.54 and 2,315.54

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Solution

The fourth proportional to 3,574.06, 4,930.54 and 2,315.54 is: 3,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.06 : 4,930.54 = 2,315.54 : x
  2. Step 2: Convert to fraction form
    3,574.06/4,930.54 = 2,315.54/x
  3. Step 3: Cross multiply
    3,574.06x = 4,930.54 × 2,315.54
  4. Step 4: Simplify right side
    3,574.06x = 11,416,839.76
  5. Step 5: Solve for x
    x = 11,416,839.76/3,574.06
  6. Step 6: Final answer
    x = 3,194.36

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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.