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Finding the Fourth Proportional to 6,272.32, 8,655.80 and 3,477.82

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Solution

The fourth proportional to 6,272.32, 8,655.80 and 3,477.82 is: 4,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.32 : 8,655.80 = 3,477.82 : x
  2. Step 2: Convert to fraction form
    6,272.32/8,655.80 = 3,477.82/x
  3. Step 3: Cross multiply
    6,272.32x = 8,655.80 × 3,477.82
  4. Step 4: Simplify right side
    6,272.32x = 30,103,314.36
  5. Step 5: Solve for x
    x = 30,103,314.36/6,272.32
  6. Step 6: Final answer
    x = 4,799.39

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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.