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Finding the Fourth Proportional to 4,794.69, 6,614.31 and 4,130.39

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Solution

The fourth proportional to 4,794.69, 6,614.31 and 4,130.39 is: 5,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.69 : 6,614.31 = 4,130.39 : x
  2. Step 2: Convert to fraction form
    4,794.69/6,614.31 = 4,130.39/x
  3. Step 3: Cross multiply
    4,794.69x = 6,614.31 × 4,130.39
  4. Step 4: Simplify right side
    4,794.69x = 27,319,688.67
  5. Step 5: Solve for x
    x = 27,319,688.67/4,794.69
  6. Step 6: Final answer
    x = 5,697.90

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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.