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Finding the Fourth Proportional to 5,215.98, 7,823.13 and 2,293.74

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Solution

The fourth proportional to 5,215.98, 7,823.13 and 2,293.74 is: 3,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.98 : 7,823.13 = 2,293.74 : x
  2. Step 2: Convert to fraction form
    5,215.98/7,823.13 = 2,293.74/x
  3. Step 3: Cross multiply
    5,215.98x = 7,823.13 × 2,293.74
  4. Step 4: Simplify right side
    5,215.98x = 17,944,226.21
  5. Step 5: Solve for x
    x = 17,944,226.21/5,215.98
  6. Step 6: Final answer
    x = 3,440.24

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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.