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Finding the Fourth Proportional to 4,970.22, 6,857.54 and 3,202.85

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Solution

The fourth proportional to 4,970.22, 6,857.54 and 3,202.85 is: 4,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.22 : 6,857.54 = 3,202.85 : x
  2. Step 2: Convert to fraction form
    4,970.22/6,857.54 = 3,202.85/x
  3. Step 3: Cross multiply
    4,970.22x = 6,857.54 × 3,202.85
  4. Step 4: Simplify right side
    4,970.22x = 21,963,685.76
  5. Step 5: Solve for x
    x = 21,963,685.76/4,970.22
  6. Step 6: Final answer
    x = 4,419.05

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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.