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Finding the Fourth Proportional to 6,395.52, 8,817.75 and 4,296

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Solution

The fourth proportional to 6,395.52, 8,817.75 and 4,296 is: 5,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.52 : 8,817.75 = 4,296 : x
  2. Step 2: Convert to fraction form
    6,395.52/8,817.75 = 4,296/x
  3. Step 3: Cross multiply
    6,395.52x = 8,817.75 × 4,296
  4. Step 4: Simplify right side
    6,395.52x = 37,881,054
  5. Step 5: Solve for x
    x = 37,881,054/6,395.52
  6. Step 6: Final answer
    x = 5,923.06

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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.