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Finding the Fourth Proportional to 4,577.96, 6,866.90 and 1,656.26

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Solution

The fourth proportional to 4,577.96, 6,866.90 and 1,656.26 is: 2,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.96 : 6,866.90 = 1,656.26 : x
  2. Step 2: Convert to fraction form
    4,577.96/6,866.90 = 1,656.26/x
  3. Step 3: Cross multiply
    4,577.96x = 6,866.90 × 1,656.26
  4. Step 4: Simplify right side
    4,577.96x = 11,373,371.79
  5. Step 5: Solve for x
    x = 11,373,371.79/4,577.96
  6. Step 6: Final answer
    x = 2,484.38

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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.