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Finding the Fourth Proportional to 5,216.92, 7,784.93 and 4,663

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Solution

The fourth proportional to 5,216.92, 7,784.93 and 4,663 is: 6,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.92 : 7,784.93 = 4,663 : x
  2. Step 2: Convert to fraction form
    5,216.92/7,784.93 = 4,663/x
  3. Step 3: Cross multiply
    5,216.92x = 7,784.93 × 4,663
  4. Step 4: Simplify right side
    5,216.92x = 36,301,128.59
  5. Step 5: Solve for x
    x = 36,301,128.59/5,216.92
  6. Step 6: Final answer
    x = 6,958.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.