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Finding the Fourth Proportional to 5,046.08, 7,569.16 and 1,759.16

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Solution

The fourth proportional to 5,046.08, 7,569.16 and 1,759.16 is: 2,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.08 : 7,569.16 = 1,759.16 : x
  2. Step 2: Convert to fraction form
    5,046.08/7,569.16 = 1,759.16/x
  3. Step 3: Cross multiply
    5,046.08x = 7,569.16 × 1,759.16
  4. Step 4: Simplify right side
    5,046.08x = 13,315,378.03
  5. Step 5: Solve for x
    x = 13,315,378.03/5,046.08
  6. Step 6: Final answer
    x = 2,638.76

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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.