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Finding the Fourth Proportional to 4,355.97, 6,530.59 and 2,163

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Solution

The fourth proportional to 4,355.97, 6,530.59 and 2,163 is: 3,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,355.97 : 6,530.59 = 2,163 : x
  2. Step 2: Convert to fraction form
    4,355.97/6,530.59 = 2,163/x
  3. Step 3: Cross multiply
    4,355.97x = 6,530.59 × 2,163
  4. Step 4: Simplify right side
    4,355.97x = 14,125,666.17
  5. Step 5: Solve for x
    x = 14,125,666.17/4,355.97
  6. Step 6: Final answer
    x = 3,242.83

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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.