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Finding the Fourth Proportional to 3,316.35, 4,972.81 and 976.05

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Solution

The fourth proportional to 3,316.35, 4,972.81 and 976.05 is: 1,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.35 : 4,972.81 = 976.05 : x
  2. Step 2: Convert to fraction form
    3,316.35/4,972.81 = 976.05/x
  3. Step 3: Cross multiply
    3,316.35x = 4,972.81 × 976.05
  4. Step 4: Simplify right side
    3,316.35x = 4,853,713.64
  5. Step 5: Solve for x
    x = 4,853,713.64/3,316.35
  6. Step 6: Final answer
    x = 1,463.57

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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.