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Finding the Fourth Proportional to 4,005.40, 5,530.18 and 3,584.48

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Solution

The fourth proportional to 4,005.40, 5,530.18 and 3,584.48 is: 4,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.40 : 5,530.18 = 3,584.48 : x
  2. Step 2: Convert to fraction form
    4,005.40/5,530.18 = 3,584.48/x
  3. Step 3: Cross multiply
    4,005.40x = 5,530.18 × 3,584.48
  4. Step 4: Simplify right side
    4,005.40x = 19,822,819.61
  5. Step 5: Solve for x
    x = 19,822,819.61/4,005.40
  6. Step 6: Final answer
    x = 4,949.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.