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Finding the Fourth Proportional to 5,097.44, 7,035 and 2,859.92

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Solution

The fourth proportional to 5,097.44, 7,035 and 2,859.92 is: 3,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.44 : 7,035 = 2,859.92 : x
  2. Step 2: Convert to fraction form
    5,097.44/7,035 = 2,859.92/x
  3. Step 3: Cross multiply
    5,097.44x = 7,035 × 2,859.92
  4. Step 4: Simplify right side
    5,097.44x = 20,119,537.20
  5. Step 5: Solve for x
    x = 20,119,537.20/5,097.44
  6. Step 6: Final answer
    x = 3,946.99

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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.