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Finding the Fourth Proportional to 5,359.92, 7,966.38 and 5,214.48

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Solution

The fourth proportional to 5,359.92, 7,966.38 and 5,214.48 is: 7,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.92 : 7,966.38 = 5,214.48 : x
  2. Step 2: Convert to fraction form
    5,359.92/7,966.38 = 5,214.48/x
  3. Step 3: Cross multiply
    5,359.92x = 7,966.38 × 5,214.48
  4. Step 4: Simplify right side
    5,359.92x = 41,540,529.18
  5. Step 5: Solve for x
    x = 41,540,529.18/5,359.92
  6. Step 6: Final answer
    x = 7,750.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.