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Finding the Fourth Proportional to 5,478.13, 8,216.13 and 4,559.59

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Solution

The fourth proportional to 5,478.13, 8,216.13 and 4,559.59 is: 6,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.13 : 8,216.13 = 4,559.59 : x
  2. Step 2: Convert to fraction form
    5,478.13/8,216.13 = 4,559.59/x
  3. Step 3: Cross multiply
    5,478.13x = 8,216.13 × 4,559.59
  4. Step 4: Simplify right side
    5,478.13x = 37,462,211.56
  5. Step 5: Solve for x
    x = 37,462,211.56/5,478.13
  6. Step 6: Final answer
    x = 6,838.50

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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.