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Finding the Fourth Proportional to 6,562.08, 9,055.60 and 3,577.84

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Solution

The fourth proportional to 6,562.08, 9,055.60 and 3,577.84 is: 4,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.08 : 9,055.60 = 3,577.84 : x
  2. Step 2: Convert to fraction form
    6,562.08/9,055.60 = 3,577.84/x
  3. Step 3: Cross multiply
    6,562.08x = 9,055.60 × 3,577.84
  4. Step 4: Simplify right side
    6,562.08x = 32,399,456.32
  5. Step 5: Solve for x
    x = 32,399,456.32/6,562.08
  6. Step 6: Final answer
    x = 4,937.38

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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.