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Finding the Fourth Proportional to 4,242.96, 6,358.86 and 3,805.56

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Solution

The fourth proportional to 4,242.96, 6,358.86 and 3,805.56 is: 5,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.96 : 6,358.86 = 3,805.56 : x
  2. Step 2: Convert to fraction form
    4,242.96/6,358.86 = 3,805.56/x
  3. Step 3: Cross multiply
    4,242.96x = 6,358.86 × 3,805.56
  4. Step 4: Simplify right side
    4,242.96x = 24,199,023.26
  5. Step 5: Solve for x
    x = 24,199,023.26/4,242.96
  6. Step 6: Final answer
    x = 5,703.34

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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.