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Finding the Fourth Proportional to 6,345.97, 8,757.37 and 3,513.35

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Solution

The fourth proportional to 6,345.97, 8,757.37 and 3,513.35 is: 4,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.97 : 8,757.37 = 3,513.35 : x
  2. Step 2: Convert to fraction form
    6,345.97/8,757.37 = 3,513.35/x
  3. Step 3: Cross multiply
    6,345.97x = 8,757.37 × 3,513.35
  4. Step 4: Simplify right side
    6,345.97x = 30,767,705.89
  5. Step 5: Solve for x
    x = 30,767,705.89/6,345.97
  6. Step 6: Final answer
    x = 4,848.39

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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.