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Finding the Fourth Proportional to 3,477.41, 4,798.28 and 1,964.94

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Solution

The fourth proportional to 3,477.41, 4,798.28 and 1,964.94 is: 2,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.41 : 4,798.28 = 1,964.94 : x
  2. Step 2: Convert to fraction form
    3,477.41/4,798.28 = 1,964.94/x
  3. Step 3: Cross multiply
    3,477.41x = 4,798.28 × 1,964.94
  4. Step 4: Simplify right side
    3,477.41x = 9,428,332.30
  5. Step 5: Solve for x
    x = 9,428,332.30/3,477.41
  6. Step 6: Final answer
    x = 2,711.31

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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.