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Finding the Fourth Proportional to 5,046.70, 7,570.46 and 1,759.72

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Solution

The fourth proportional to 5,046.70, 7,570.46 and 1,759.72 is: 2,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.70 : 7,570.46 = 1,759.72 : x
  2. Step 2: Convert to fraction form
    5,046.70/7,570.46 = 1,759.72/x
  3. Step 3: Cross multiply
    5,046.70x = 7,570.46 × 1,759.72
  4. Step 4: Simplify right side
    5,046.70x = 13,321,889.87
  5. Step 5: Solve for x
    x = 13,321,889.87/5,046.70
  6. Step 6: Final answer
    x = 2,639.72

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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.