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Finding the Fourth Proportional to 4,221.70, 6,332.91 and 1,102.12

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Solution

The fourth proportional to 4,221.70, 6,332.91 and 1,102.12 is: 1,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.70 : 6,332.91 = 1,102.12 : x
  2. Step 2: Convert to fraction form
    4,221.70/6,332.91 = 1,102.12/x
  3. Step 3: Cross multiply
    4,221.70x = 6,332.91 × 1,102.12
  4. Step 4: Simplify right side
    4,221.70x = 6,979,626.77
  5. Step 5: Solve for x
    x = 6,979,626.77/4,221.70
  6. Step 6: Final answer
    x = 1,653.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.