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Finding the Fourth Proportional to 4,747.74, 7,108.65 and 3,190.14

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Solution

The fourth proportional to 4,747.74, 7,108.65 and 3,190.14 is: 4,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.74 : 7,108.65 = 3,190.14 : x
  2. Step 2: Convert to fraction form
    4,747.74/7,108.65 = 3,190.14/x
  3. Step 3: Cross multiply
    4,747.74x = 7,108.65 × 3,190.14
  4. Step 4: Simplify right side
    4,747.74x = 22,677,588.71
  5. Step 5: Solve for x
    x = 22,677,588.71/4,747.74
  6. Step 6: Final answer
    x = 4,776.50

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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.