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Finding the Fourth Proportional to 6,562.01, 9,055.44 and 3,577.87

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Solution

The fourth proportional to 6,562.01, 9,055.44 and 3,577.87 is: 4,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.01 : 9,055.44 = 3,577.87 : x
  2. Step 2: Convert to fraction form
    6,562.01/9,055.44 = 3,577.87/x
  3. Step 3: Cross multiply
    6,562.01x = 9,055.44 × 3,577.87
  4. Step 4: Simplify right side
    6,562.01x = 32,399,187.11
  5. Step 5: Solve for x
    x = 32,399,187.11/6,562.01
  6. Step 6: Final answer
    x = 4,937.39

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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.