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Finding the Fourth Proportional to 6,279.53, 8,643.98 and 5,428.37

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Solution

The fourth proportional to 6,279.53, 8,643.98 and 5,428.37 is: 7,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.53 : 8,643.98 = 5,428.37 : x
  2. Step 2: Convert to fraction form
    6,279.53/8,643.98 = 5,428.37/x
  3. Step 3: Cross multiply
    6,279.53x = 8,643.98 × 5,428.37
  4. Step 4: Simplify right side
    6,279.53x = 46,922,756.89
  5. Step 5: Solve for x
    x = 46,922,756.89/6,279.53
  6. Step 6: Final answer
    x = 7,472.34

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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.