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Finding the Fourth Proportional to 3,790.64, 5,680.44 and 1,598.16

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Solution

The fourth proportional to 3,790.64, 5,680.44 and 1,598.16 is: 2,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.64 : 5,680.44 = 1,598.16 : x
  2. Step 2: Convert to fraction form
    3,790.64/5,680.44 = 1,598.16/x
  3. Step 3: Cross multiply
    3,790.64x = 5,680.44 × 1,598.16
  4. Step 4: Simplify right side
    3,790.64x = 9,078,251.99
  5. Step 5: Solve for x
    x = 9,078,251.99/3,790.64
  6. Step 6: Final answer
    x = 2,394.91

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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.