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Finding the Fourth Proportional to 3,574.44, 4,930.92 and 2,315.16

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Solution

The fourth proportional to 3,574.44, 4,930.92 and 2,315.16 is: 3,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.44 : 4,930.92 = 2,315.16 : x
  2. Step 2: Convert to fraction form
    3,574.44/4,930.92 = 2,315.16/x
  3. Step 3: Cross multiply
    3,574.44x = 4,930.92 × 2,315.16
  4. Step 4: Simplify right side
    3,574.44x = 11,415,868.75
  5. Step 5: Solve for x
    x = 11,415,868.75/3,574.44
  6. Step 6: Final answer
    x = 3,193.75

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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.