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Finding the Fourth Proportional to 4,483.84, 6,733.05 and 4,449.82

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Solution

The fourth proportional to 4,483.84, 6,733.05 and 4,449.82 is: 6,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.84 : 6,733.05 = 4,449.82 : x
  2. Step 2: Convert to fraction form
    4,483.84/6,733.05 = 4,449.82/x
  3. Step 3: Cross multiply
    4,483.84x = 6,733.05 × 4,449.82
  4. Step 4: Simplify right side
    4,483.84x = 29,960,860.55
  5. Step 5: Solve for x
    x = 29,960,860.55/4,483.84
  6. Step 6: Final answer
    x = 6,681.96

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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.