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Finding the Fourth Proportional to 3,698.31, 5,103 and 2,280.86

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Solution

The fourth proportional to 3,698.31, 5,103 and 2,280.86 is: 3,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.31 : 5,103 = 2,280.86 : x
  2. Step 2: Convert to fraction form
    3,698.31/5,103 = 2,280.86/x
  3. Step 3: Cross multiply
    3,698.31x = 5,103 × 2,280.86
  4. Step 4: Simplify right side
    3,698.31x = 11,639,222.20
  5. Step 5: Solve for x
    x = 11,639,222.20/3,698.31
  6. Step 6: Final answer
    x = 3,147.17

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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.