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Finding the Fourth Proportional to 5,046.40, 7,569.82 and 1,759.76

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Solution

The fourth proportional to 5,046.40, 7,569.82 and 1,759.76 is: 2,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.40 : 7,569.82 = 1,759.76 : x
  2. Step 2: Convert to fraction form
    5,046.40/7,569.82 = 1,759.76/x
  3. Step 3: Cross multiply
    5,046.40x = 7,569.82 × 1,759.76
  4. Step 4: Simplify right side
    5,046.40x = 13,321,066.44
  5. Step 5: Solve for x
    x = 13,321,066.44/5,046.40
  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.