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Finding the Fourth Proportional to 6,266.44, 8,646.24 and 3,749.35

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Solution

The fourth proportional to 6,266.44, 8,646.24 and 3,749.35 is: 5,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.44 : 8,646.24 = 3,749.35 : x
  2. Step 2: Convert to fraction form
    6,266.44/8,646.24 = 3,749.35/x
  3. Step 3: Cross multiply
    6,266.44x = 8,646.24 × 3,749.35
  4. Step 4: Simplify right side
    6,266.44x = 32,417,779.94
  5. Step 5: Solve for x
    x = 32,417,779.94/6,266.44
  6. Step 6: Final answer
    x = 5,173.24

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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.