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Finding the Fourth Proportional to 5,097.70, 7,034.70 and 2,859.58

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Solution

The fourth proportional to 5,097.70, 7,034.70 and 2,859.58 is: 3,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.70 : 7,034.70 = 2,859.58 : x
  2. Step 2: Convert to fraction form
    5,097.70/7,034.70 = 2,859.58/x
  3. Step 3: Cross multiply
    5,097.70x = 7,034.70 × 2,859.58
  4. Step 4: Simplify right side
    5,097.70x = 20,116,287.43
  5. Step 5: Solve for x
    x = 20,116,287.43/5,097.70
  6. Step 6: Final answer
    x = 3,946.15

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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.