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Finding the Fourth Proportional to 5,476.84, 8,207.58 and 3,649

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Solution

The fourth proportional to 5,476.84, 8,207.58 and 3,649 is: 5,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.84 : 8,207.58 = 3,649 : x
  2. Step 2: Convert to fraction form
    5,476.84/8,207.58 = 3,649/x
  3. Step 3: Cross multiply
    5,476.84x = 8,207.58 × 3,649
  4. Step 4: Simplify right side
    5,476.84x = 29,949,459.42
  5. Step 5: Solve for x
    x = 29,949,459.42/5,476.84
  6. Step 6: Final answer
    x = 5,468.38

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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.