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Finding the Fourth Proportional to 4,964.94, 6,854.20 and 3,903.38

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Solution

The fourth proportional to 4,964.94, 6,854.20 and 3,903.38 is: 5,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.94 : 6,854.20 = 3,903.38 : x
  2. Step 2: Convert to fraction form
    4,964.94/6,854.20 = 3,903.38/x
  3. Step 3: Cross multiply
    4,964.94x = 6,854.20 × 3,903.38
  4. Step 4: Simplify right side
    4,964.94x = 26,754,547.20
  5. Step 5: Solve for x
    x = 26,754,547.20/4,964.94
  6. Step 6: Final answer
    x = 5,388.69

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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.