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Finding the Fourth Proportional to 5,030.76, 6,942.78 and 2,906.38

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Solution

The fourth proportional to 5,030.76, 6,942.78 and 2,906.38 is: 4,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.76 : 6,942.78 = 2,906.38 : x
  2. Step 2: Convert to fraction form
    5,030.76/6,942.78 = 2,906.38/x
  3. Step 3: Cross multiply
    5,030.76x = 6,942.78 × 2,906.38
  4. Step 4: Simplify right side
    5,030.76x = 20,178,356.94
  5. Step 5: Solve for x
    x = 20,178,356.94/5,030.76
  6. Step 6: Final answer
    x = 4,011.00

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Why These Related Problems?

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