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Finding the Fourth Proportional to 5,569.26, 7,681.22 and 3,580

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Solution

The fourth proportional to 5,569.26, 7,681.22 and 3,580 is: 4,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.26 : 7,681.22 = 3,580 : x
  2. Step 2: Convert to fraction form
    5,569.26/7,681.22 = 3,580/x
  3. Step 3: Cross multiply
    5,569.26x = 7,681.22 × 3,580
  4. Step 4: Simplify right side
    5,569.26x = 27,498,767.60
  5. Step 5: Solve for x
    x = 27,498,767.60/5,569.26
  6. Step 6: Final answer
    x = 4,937.60

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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.