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Finding the Fourth Proportional to 6,402.96, 8,835.30 and 3,749.76

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Solution

The fourth proportional to 6,402.96, 8,835.30 and 3,749.76 is: 5,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.96 : 8,835.30 = 3,749.76 : x
  2. Step 2: Convert to fraction form
    6,402.96/8,835.30 = 3,749.76/x
  3. Step 3: Cross multiply
    6,402.96x = 8,835.30 × 3,749.76
  4. Step 4: Simplify right side
    6,402.96x = 33,130,254.53
  5. Step 5: Solve for x
    x = 33,130,254.53/6,402.96
  6. Step 6: Final answer
    x = 5,174.21

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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.