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Finding the Fourth Proportional to 5,314.64, 7,972.16 and 2,714.54

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Solution

The fourth proportional to 5,314.64, 7,972.16 and 2,714.54 is: 4,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.64 : 7,972.16 = 2,714.54 : x
  2. Step 2: Convert to fraction form
    5,314.64/7,972.16 = 2,714.54/x
  3. Step 3: Cross multiply
    5,314.64x = 7,972.16 × 2,714.54
  4. Step 4: Simplify right side
    5,314.64x = 21,640,693.77
  5. Step 5: Solve for x
    x = 21,640,693.77/5,314.64
  6. Step 6: Final answer
    x = 4,071.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.