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Finding the Fourth Proportional to 4,857.57, 7,288.64 and 2,394.47

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Solution

The fourth proportional to 4,857.57, 7,288.64 and 2,394.47 is: 3,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.57 : 7,288.64 = 2,394.47 : x
  2. Step 2: Convert to fraction form
    4,857.57/7,288.64 = 2,394.47/x
  3. Step 3: Cross multiply
    4,857.57x = 7,288.64 × 2,394.47
  4. Step 4: Simplify right side
    4,857.57x = 17,452,429.82
  5. Step 5: Solve for x
    x = 17,452,429.82/4,857.57
  6. Step 6: Final answer
    x = 3,592.83

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1.5x scale

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.