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Finding the Fourth Proportional to 6,097.28, 8,415.36 and 3,445.47

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Solution

The fourth proportional to 6,097.28, 8,415.36 and 3,445.47 is: 4,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.28 : 8,415.36 = 3,445.47 : x
  2. Step 2: Convert to fraction form
    6,097.28/8,415.36 = 3,445.47/x
  3. Step 3: Cross multiply
    6,097.28x = 8,415.36 × 3,445.47
  4. Step 4: Simplify right side
    6,097.28x = 28,994,870.42
  5. Step 5: Solve for x
    x = 28,994,870.42/6,097.28
  6. Step 6: Final answer
    x = 4,755.38

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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.