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Finding the Fourth Proportional to 4,975.46, 6,858.47 and 3,714.60

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Solution

The fourth proportional to 4,975.46, 6,858.47 and 3,714.60 is: 5,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.46 : 6,858.47 = 3,714.60 : x
  2. Step 2: Convert to fraction form
    4,975.46/6,858.47 = 3,714.60/x
  3. Step 3: Cross multiply
    4,975.46x = 6,858.47 × 3,714.60
  4. Step 4: Simplify right side
    4,975.46x = 25,476,472.66
  5. Step 5: Solve for x
    x = 25,476,472.66/4,975.46
  6. Step 6: Final answer
    x = 5,120.43

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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.