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Finding the Fourth Proportional to 5,097.65, 7,033.77 and 3,080.65

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Solution

The fourth proportional to 5,097.65, 7,033.77 and 3,080.65 is: 4,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.65 : 7,033.77 = 3,080.65 : x
  2. Step 2: Convert to fraction form
    5,097.65/7,033.77 = 3,080.65/x
  3. Step 3: Cross multiply
    5,097.65x = 7,033.77 × 3,080.65
  4. Step 4: Simplify right side
    5,097.65x = 21,668,583.55
  5. Step 5: Solve for x
    x = 21,668,583.55/5,097.65
  6. Step 6: Final answer
    x = 4,250.70

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1.5x scale

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.