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Finding the Fourth Proportional to 4,666.98, 6,994.90 and 3,253.75

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Solution

The fourth proportional to 4,666.98, 6,994.90 and 3,253.75 is: 4,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.98 : 6,994.90 = 3,253.75 : x
  2. Step 2: Convert to fraction form
    4,666.98/6,994.90 = 3,253.75/x
  3. Step 3: Cross multiply
    4,666.98x = 6,994.90 × 3,253.75
  4. Step 4: Simplify right side
    4,666.98x = 22,759,677.43
  5. Step 5: Solve for x
    x = 22,759,677.43/4,666.98
  6. Step 6: Final answer
    x = 4,876.75

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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.