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Finding the Fourth Proportional to 4,663.01, 6,994.50 and 3,197.72

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Solution

The fourth proportional to 4,663.01, 6,994.50 and 3,197.72 is: 4,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.01 : 6,994.50 = 3,197.72 : x
  2. Step 2: Convert to fraction form
    4,663.01/6,994.50 = 3,197.72/x
  3. Step 3: Cross multiply
    4,663.01x = 6,994.50 × 3,197.72
  4. Step 4: Simplify right side
    4,663.01x = 22,366,417.57
  5. Step 5: Solve for x
    x = 22,366,417.57/4,663.01
  6. Step 6: Final answer
    x = 4,796.57

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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.