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Finding the Fourth Proportional to 4,976.40, 6,904.65 and 4,934.01

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Solution

The fourth proportional to 4,976.40, 6,904.65 and 4,934.01 is: 6,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.40 : 6,904.65 = 4,934.01 : x
  2. Step 2: Convert to fraction form
    4,976.40/6,904.65 = 4,934.01/x
  3. Step 3: Cross multiply
    4,976.40x = 6,904.65 × 4,934.01
  4. Step 4: Simplify right side
    4,976.40x = 34,067,612.15
  5. Step 5: Solve for x
    x = 34,067,612.15/4,976.40
  6. Step 6: Final answer
    x = 6,845.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.