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Finding the Fourth Proportional to 5,070.16, 6,994.20 and 3,208.24

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Solution

The fourth proportional to 5,070.16, 6,994.20 and 3,208.24 is: 4,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.16 : 6,994.20 = 3,208.24 : x
  2. Step 2: Convert to fraction form
    5,070.16/6,994.20 = 3,208.24/x
  3. Step 3: Cross multiply
    5,070.16x = 6,994.20 × 3,208.24
  4. Step 4: Simplify right side
    5,070.16x = 22,439,072.21
  5. Step 5: Solve for x
    x = 22,439,072.21/5,070.16
  6. Step 6: Final answer
    x = 4,425.71

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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.