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Finding the Fourth Proportional to 5,764.28, 8,646.59 and 2,254.14

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Solution

The fourth proportional to 5,764.28, 8,646.59 and 2,254.14 is: 3,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.28 : 8,646.59 = 2,254.14 : x
  2. Step 2: Convert to fraction form
    5,764.28/8,646.59 = 2,254.14/x
  3. Step 3: Cross multiply
    5,764.28x = 8,646.59 × 2,254.14
  4. Step 4: Simplify right side
    5,764.28x = 19,490,630.02
  5. Step 5: Solve for x
    x = 19,490,630.02/5,764.28
  6. Step 6: Final answer
    x = 3,381.28

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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.