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Finding the Fourth Proportional to 4,197.47, 5,792.54 and 2,309.18

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Solution

The fourth proportional to 4,197.47, 5,792.54 and 2,309.18 is: 3,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.47 : 5,792.54 = 2,309.18 : x
  2. Step 2: Convert to fraction form
    4,197.47/5,792.54 = 2,309.18/x
  3. Step 3: Cross multiply
    4,197.47x = 5,792.54 × 2,309.18
  4. Step 4: Simplify right side
    4,197.47x = 13,375,983.50
  5. Step 5: Solve for x
    x = 13,375,983.50/4,197.47
  6. Step 6: Final answer
    x = 3,186.68

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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.