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Finding the Fourth Proportional to 6,099.30, 8,417.52 and 3,742.20

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Solution

The fourth proportional to 6,099.30, 8,417.52 and 3,742.20 is: 5,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.30 : 8,417.52 = 3,742.20 : x
  2. Step 2: Convert to fraction form
    6,099.30/8,417.52 = 3,742.20/x
  3. Step 3: Cross multiply
    6,099.30x = 8,417.52 × 3,742.20
  4. Step 4: Simplify right side
    6,099.30x = 31,500,043.34
  5. Step 5: Solve for x
    x = 31,500,043.34/6,099.30
  6. Step 6: Final answer
    x = 5,164.53

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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.