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Finding the Fourth Proportional to 5,752.60, 8,618.10 and 2,969.80

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Solution

The fourth proportional to 5,752.60, 8,618.10 and 2,969.80 is: 4,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.60 : 8,618.10 = 2,969.80 : x
  2. Step 2: Convert to fraction form
    5,752.60/8,618.10 = 2,969.80/x
  3. Step 3: Cross multiply
    5,752.60x = 8,618.10 × 2,969.80
  4. Step 4: Simplify right side
    5,752.60x = 25,594,033.38
  5. Step 5: Solve for x
    x = 25,594,033.38/5,752.60
  6. Step 6: Final answer
    x = 4,449.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.