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Finding the Fourth Proportional to 3,281.66, 4,917.02 and 2,355.83

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Solution

The fourth proportional to 3,281.66, 4,917.02 and 2,355.83 is: 3,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.66 : 4,917.02 = 2,355.83 : x
  2. Step 2: Convert to fraction form
    3,281.66/4,917.02 = 2,355.83/x
  3. Step 3: Cross multiply
    3,281.66x = 4,917.02 × 2,355.83
  4. Step 4: Simplify right side
    3,281.66x = 11,583,663.23
  5. Step 5: Solve for x
    x = 11,583,663.23/3,281.66
  6. Step 6: Final answer
    x = 3,529.82

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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.