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Finding the Fourth Proportional to 5,814.96, 8,026.20 and 3,577.20

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Solution

The fourth proportional to 5,814.96, 8,026.20 and 3,577.20 is: 4,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.96 : 8,026.20 = 3,577.20 : x
  2. Step 2: Convert to fraction form
    5,814.96/8,026.20 = 3,577.20/x
  3. Step 3: Cross multiply
    5,814.96x = 8,026.20 × 3,577.20
  4. Step 4: Simplify right side
    5,814.96x = 28,711,322.64
  5. Step 5: Solve for x
    x = 28,711,322.64/5,814.96
  6. Step 6: Final answer
    x = 4,937.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.