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Finding the Fourth Proportional to 5,570.57, 7,690.88 and 3,584.58

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Solution

The fourth proportional to 5,570.57, 7,690.88 and 3,584.58 is: 4,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.57 : 7,690.88 = 3,584.58 : x
  2. Step 2: Convert to fraction form
    5,570.57/7,690.88 = 3,584.58/x
  3. Step 3: Cross multiply
    5,570.57x = 7,690.88 × 3,584.58
  4. Step 4: Simplify right side
    5,570.57x = 27,568,518.25
  5. Step 5: Solve for x
    x = 27,568,518.25/5,570.57
  6. Step 6: Final answer
    x = 4,948.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.