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Finding the Fourth Proportional to 5,756.94, 7,943.67 and 3,398.94

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Solution

The fourth proportional to 5,756.94, 7,943.67 and 3,398.94 is: 4,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.94 : 7,943.67 = 3,398.94 : x
  2. Step 2: Convert to fraction form
    5,756.94/7,943.67 = 3,398.94/x
  3. Step 3: Cross multiply
    5,756.94x = 7,943.67 × 3,398.94
  4. Step 4: Simplify right side
    5,756.94x = 27,000,057.71
  5. Step 5: Solve for x
    x = 27,000,057.71/5,756.94
  6. Step 6: Final answer
    x = 4,690.00

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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.