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Finding the Fourth Proportional to 4,656.60, 6,972.66 and 3,914.40

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Solution

The fourth proportional to 4,656.60, 6,972.66 and 3,914.40 is: 5,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.60 : 6,972.66 = 3,914.40 : x
  2. Step 2: Convert to fraction form
    4,656.60/6,972.66 = 3,914.40/x
  3. Step 3: Cross multiply
    4,656.60x = 6,972.66 × 3,914.40
  4. Step 4: Simplify right side
    4,656.60x = 27,293,780.30
  5. Step 5: Solve for x
    x = 27,293,780.30/4,656.60
  6. Step 6: Final answer
    x = 5,861.31

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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.