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Finding the Fourth Proportional to 3,214.70, 4,794.93 and 2,931.74

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Solution

The fourth proportional to 3,214.70, 4,794.93 and 2,931.74 is: 4,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.70 : 4,794.93 = 2,931.74 : x
  2. Step 2: Convert to fraction form
    3,214.70/4,794.93 = 2,931.74/x
  3. Step 3: Cross multiply
    3,214.70x = 4,794.93 × 2,931.74
  4. Step 4: Simplify right side
    3,214.70x = 14,057,488.08
  5. Step 5: Solve for x
    x = 14,057,488.08/3,214.70
  6. Step 6: Final answer
    x = 4,372.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.