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Finding the Fourth Proportional to 5,773.52, 7,963.08 and 4,097.36

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Solution

The fourth proportional to 5,773.52, 7,963.08 and 4,097.36 is: 5,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.52 : 7,963.08 = 4,097.36 : x
  2. Step 2: Convert to fraction form
    5,773.52/7,963.08 = 4,097.36/x
  3. Step 3: Cross multiply
    5,773.52x = 7,963.08 × 4,097.36
  4. Step 4: Simplify right side
    5,773.52x = 32,627,605.47
  5. Step 5: Solve for x
    x = 32,627,605.47/5,773.52
  6. Step 6: Final answer
    x = 5,651.25

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1.5x scale

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.