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Finding the Fourth Proportional to 5,354.97, 8,026.29 and 3,597.86

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Solution

The fourth proportional to 5,354.97, 8,026.29 and 3,597.86 is: 5,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.97 : 8,026.29 = 3,597.86 : x
  2. Step 2: Convert to fraction form
    5,354.97/8,026.29 = 3,597.86/x
  3. Step 3: Cross multiply
    5,354.97x = 8,026.29 × 3,597.86
  4. Step 4: Simplify right side
    5,354.97x = 28,877,427.61
  5. Step 5: Solve for x
    x = 28,877,427.61/5,354.97
  6. Step 6: Final answer
    x = 5,392.64

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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.