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Finding the Fourth Proportional to 4,478.51, 6,717.83 and 1,191.59

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Solution

The fourth proportional to 4,478.51, 6,717.83 and 1,191.59 is: 1,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.51 : 6,717.83 = 1,191.59 : x
  2. Step 2: Convert to fraction form
    4,478.51/6,717.83 = 1,191.59/x
  3. Step 3: Cross multiply
    4,478.51x = 6,717.83 × 1,191.59
  4. Step 4: Simplify right side
    4,478.51x = 8,004,859.50
  5. Step 5: Solve for x
    x = 8,004,859.50/4,478.51
  6. Step 6: Final answer
    x = 1,787.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.