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Finding the Fourth Proportional to 3,865.60, 5,334.46 and 2,097.24

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Solution

The fourth proportional to 3,865.60, 5,334.46 and 2,097.24 is: 2,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.60 : 5,334.46 = 2,097.24 : x
  2. Step 2: Convert to fraction form
    3,865.60/5,334.46 = 2,097.24/x
  3. Step 3: Cross multiply
    3,865.60x = 5,334.46 × 2,097.24
  4. Step 4: Simplify right side
    3,865.60x = 11,187,642.89
  5. Step 5: Solve for x
    x = 11,187,642.89/3,865.60
  6. Step 6: Final answer
    x = 2,894.15

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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.