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Finding the Fourth Proportional to 5,407.52, 7,465.62 and 4,847

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Solution

The fourth proportional to 5,407.52, 7,465.62 and 4,847 is: 6,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.52 : 7,465.62 = 4,847 : x
  2. Step 2: Convert to fraction form
    5,407.52/7,465.62 = 4,847/x
  3. Step 3: Cross multiply
    5,407.52x = 7,465.62 × 4,847
  4. Step 4: Simplify right side
    5,407.52x = 36,185,860.14
  5. Step 5: Solve for x
    x = 36,185,860.14/5,407.52
  6. Step 6: Final answer
    x = 6,691.77

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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.