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Finding the Fourth Proportional to 5,497.48, 8,248.02 and 2,035

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Solution

The fourth proportional to 5,497.48, 8,248.02 and 2,035 is: 3,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.48 : 8,248.02 = 2,035 : x
  2. Step 2: Convert to fraction form
    5,497.48/8,248.02 = 2,035/x
  3. Step 3: Cross multiply
    5,497.48x = 8,248.02 × 2,035
  4. Step 4: Simplify right side
    5,497.48x = 16,784,720.70
  5. Step 5: Solve for x
    x = 16,784,720.70/5,497.48
  6. Step 6: Final answer
    x = 3,053.17

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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.