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Finding the Fourth Proportional to 3,490.64, 5,235.96 and 1,516.02

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Solution

The fourth proportional to 3,490.64, 5,235.96 and 1,516.02 is: 2,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.64 : 5,235.96 = 1,516.02 : x
  2. Step 2: Convert to fraction form
    3,490.64/5,235.96 = 1,516.02/x
  3. Step 3: Cross multiply
    3,490.64x = 5,235.96 × 1,516.02
  4. Step 4: Simplify right side
    3,490.64x = 7,937,786.32
  5. Step 5: Solve for x
    x = 7,937,786.32/3,490.64
  6. Step 6: Final answer
    x = 2,274.02

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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.