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Finding the Fourth Proportional to 5,006.84, 6,910.32 and 4,785.44

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Solution

The fourth proportional to 5,006.84, 6,910.32 and 4,785.44 is: 6,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.84 : 6,910.32 = 4,785.44 : x
  2. Step 2: Convert to fraction form
    5,006.84/6,910.32 = 4,785.44/x
  3. Step 3: Cross multiply
    5,006.84x = 6,910.32 × 4,785.44
  4. Step 4: Simplify right side
    5,006.84x = 33,068,921.74
  5. Step 5: Solve for x
    x = 33,068,921.74/5,006.84
  6. Step 6: Final answer
    x = 6,604.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.