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Finding the Fourth Proportional to 4,935.70, 6,810.97 and 2,946.24

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Solution

The fourth proportional to 4,935.70, 6,810.97 and 2,946.24 is: 4,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.70 : 6,810.97 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    4,935.70/6,810.97 = 2,946.24/x
  3. Step 3: Cross multiply
    4,935.70x = 6,810.97 × 2,946.24
  4. Step 4: Simplify right side
    4,935.70x = 20,066,752.25
  5. Step 5: Solve for x
    x = 20,066,752.25/4,935.70
  6. Step 6: Final answer
    x = 4,065.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.