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Finding the Fourth Proportional to 4,577.82, 6,866.72 and 1,655.44

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Solution

The fourth proportional to 4,577.82, 6,866.72 and 1,655.44 is: 2,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.82 : 6,866.72 = 1,655.44 : x
  2. Step 2: Convert to fraction form
    4,577.82/6,866.72 = 1,655.44/x
  3. Step 3: Cross multiply
    4,577.82x = 6,866.72 × 1,655.44
  4. Step 4: Simplify right side
    4,577.82x = 11,367,433.03
  5. Step 5: Solve for x
    x = 11,367,433.03/4,577.82
  6. Step 6: Final answer
    x = 2,483.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.