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Finding the Fourth Proportional to 5,052.16, 7,573.92 and 1,976.32

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Solution

The fourth proportional to 5,052.16, 7,573.92 and 1,976.32 is: 2,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.16 : 7,573.92 = 1,976.32 : x
  2. Step 2: Convert to fraction form
    5,052.16/7,573.92 = 1,976.32/x
  3. Step 3: Cross multiply
    5,052.16x = 7,573.92 × 1,976.32
  4. Step 4: Simplify right side
    5,052.16x = 14,968,489.57
  5. Step 5: Solve for x
    x = 14,968,489.57/5,052.16
  6. Step 6: Final answer
    x = 2,962.79

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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.