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Finding the Fourth Proportional to 4,868.64, 6,714.36 and 3,872.28

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Solution

The fourth proportional to 4,868.64, 6,714.36 and 3,872.28 is: 5,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.64 : 6,714.36 = 3,872.28 : x
  2. Step 2: Convert to fraction form
    4,868.64/6,714.36 = 3,872.28/x
  3. Step 3: Cross multiply
    4,868.64x = 6,714.36 × 3,872.28
  4. Step 4: Simplify right side
    4,868.64x = 25,999,881.94
  5. Step 5: Solve for x
    x = 25,999,881.94/4,868.64
  6. Step 6: Final answer
    x = 5,340.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.