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Finding the Fourth Proportional to 5,046.39, 7,570.49 and 1,714.95

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Solution

The fourth proportional to 5,046.39, 7,570.49 and 1,714.95 is: 2,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.39 : 7,570.49 = 1,714.95 : x
  2. Step 2: Convert to fraction form
    5,046.39/7,570.49 = 1,714.95/x
  3. Step 3: Cross multiply
    5,046.39x = 7,570.49 × 1,714.95
  4. Step 4: Simplify right side
    5,046.39x = 12,983,003.25
  5. Step 5: Solve for x
    x = 12,983,003.25/5,046.39
  6. Step 6: Final answer
    x = 2,572.73

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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.