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Finding the Fourth Proportional to 5,308.45, 7,963.63 and 4,329.93

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Solution

The fourth proportional to 5,308.45, 7,963.63 and 4,329.93 is: 6,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.45 : 7,963.63 = 4,329.93 : x
  2. Step 2: Convert to fraction form
    5,308.45/7,963.63 = 4,329.93/x
  3. Step 3: Cross multiply
    5,308.45x = 7,963.63 × 4,329.93
  4. Step 4: Simplify right side
    5,308.45x = 34,481,979.48
  5. Step 5: Solve for x
    x = 34,481,979.48/5,308.45
  6. Step 6: Final answer
    x = 6,495.68

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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.