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Finding the Fourth Proportional to 5,046.30, 6,964.08 and 2,808.08

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Solution

The fourth proportional to 5,046.30, 6,964.08 and 2,808.08 is: 3,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.30 : 6,964.08 = 2,808.08 : x
  2. Step 2: Convert to fraction form
    5,046.30/6,964.08 = 2,808.08/x
  3. Step 3: Cross multiply
    5,046.30x = 6,964.08 × 2,808.08
  4. Step 4: Simplify right side
    5,046.30x = 19,555,693.77
  5. Step 5: Solve for x
    x = 19,555,693.77/5,046.30
  6. Step 6: Final answer
    x = 3,875.25

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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.