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Finding the Fourth Proportional to 5,066.32, 6,990 and 2,969.92

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Solution

The fourth proportional to 5,066.32, 6,990 and 2,969.92 is: 4,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.32 : 6,990 = 2,969.92 : x
  2. Step 2: Convert to fraction form
    5,066.32/6,990 = 2,969.92/x
  3. Step 3: Cross multiply
    5,066.32x = 6,990 × 2,969.92
  4. Step 4: Simplify right side
    5,066.32x = 20,759,740.80
  5. Step 5: Solve for x
    x = 20,759,740.80/5,066.32
  6. Step 6: Final answer
    x = 4,097.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.