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Finding the Fourth Proportional to 5,655.78, 8,466.39 and 4,191.30

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Solution

The fourth proportional to 5,655.78, 8,466.39 and 4,191.30 is: 6,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.78 : 8,466.39 = 4,191.30 : x
  2. Step 2: Convert to fraction form
    5,655.78/8,466.39 = 4,191.30/x
  3. Step 3: Cross multiply
    5,655.78x = 8,466.39 × 4,191.30
  4. Step 4: Simplify right side
    5,655.78x = 35,485,180.41
  5. Step 5: Solve for x
    x = 35,485,180.41/5,655.78
  6. Step 6: Final answer
    x = 6,274.14

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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.