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Finding the Fourth Proportional to 5,781.24, 7,970.58 and 3,684.60

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Solution

The fourth proportional to 5,781.24, 7,970.58 and 3,684.60 is: 5,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.24 : 7,970.58 = 3,684.60 : x
  2. Step 2: Convert to fraction form
    5,781.24/7,970.58 = 3,684.60/x
  3. Step 3: Cross multiply
    5,781.24x = 7,970.58 × 3,684.60
  4. Step 4: Simplify right side
    5,781.24x = 29,368,399.07
  5. Step 5: Solve for x
    x = 29,368,399.07/5,781.24
  6. Step 6: Final answer
    x = 5,079.95

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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.