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Finding the Fourth Proportional to 5,668.77, 8,496.91 and 4,844.53

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Solution

The fourth proportional to 5,668.77, 8,496.91 and 4,844.53 is: 7,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.77 : 8,496.91 = 4,844.53 : x
  2. Step 2: Convert to fraction form
    5,668.77/8,496.91 = 4,844.53/x
  3. Step 3: Cross multiply
    5,668.77x = 8,496.91 × 4,844.53
  4. Step 4: Simplify right side
    5,668.77x = 41,163,535.40
  5. Step 5: Solve for x
    x = 41,163,535.40/5,668.77
  6. Step 6: Final answer
    x = 7,261.46

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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.