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Finding the Fourth Proportional to 4,714.97, 6,456.35 and 4,529.07

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Solution

The fourth proportional to 4,714.97, 6,456.35 and 4,529.07 is: 6,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.97 : 6,456.35 = 4,529.07 : x
  2. Step 2: Convert to fraction form
    4,714.97/6,456.35 = 4,529.07/x
  3. Step 3: Cross multiply
    4,714.97x = 6,456.35 × 4,529.07
  4. Step 4: Simplify right side
    4,714.97x = 29,241,272.42
  5. Step 5: Solve for x
    x = 29,241,272.42/4,714.97
  6. Step 6: Final answer
    x = 6,201.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.