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Finding the Fourth Proportional to 3,574.64, 5,360.45 and 1,930.75

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Solution

The fourth proportional to 3,574.64, 5,360.45 and 1,930.75 is: 2,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.64 : 5,360.45 = 1,930.75 : x
  2. Step 2: Convert to fraction form
    3,574.64/5,360.45 = 1,930.75/x
  3. Step 3: Cross multiply
    3,574.64x = 5,360.45 × 1,930.75
  4. Step 4: Simplify right side
    3,574.64x = 10,349,665.78
  5. Step 5: Solve for x
    x = 10,349,665.78/3,574.64
  6. Step 6: Final answer
    x = 2,895.30

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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.