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Finding the Fourth Proportional to 4,663.44, 6,994.89 and 2,065.50

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Solution

The fourth proportional to 4,663.44, 6,994.89 and 2,065.50 is: 3,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.44 : 6,994.89 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    4,663.44/6,994.89 = 2,065.50/x
  3. Step 3: Cross multiply
    4,663.44x = 6,994.89 × 2,065.50
  4. Step 4: Simplify right side
    4,663.44x = 14,447,945.30
  5. Step 5: Solve for x
    x = 14,447,945.30/4,663.44
  6. Step 6: Final answer
    x = 3,098.13

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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.