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Finding the Fourth Proportional to 4,774.84, 6,590.09 and 2,785.39

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Solution

The fourth proportional to 4,774.84, 6,590.09 and 2,785.39 is: 3,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.84 : 6,590.09 = 2,785.39 : x
  2. Step 2: Convert to fraction form
    4,774.84/6,590.09 = 2,785.39/x
  3. Step 3: Cross multiply
    4,774.84x = 6,590.09 × 2,785.39
  4. Step 4: Simplify right side
    4,774.84x = 18,355,961.27
  5. Step 5: Solve for x
    x = 18,355,961.27/4,774.84
  6. Step 6: Final answer
    x = 3,844.31

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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.