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Finding the Fourth Proportional to 6,407.85, 8,842.86 and 3,756.81

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Solution

The fourth proportional to 6,407.85, 8,842.86 and 3,756.81 is: 5,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.85 : 8,842.86 = 3,756.81 : x
  2. Step 2: Convert to fraction form
    6,407.85/8,842.86 = 3,756.81/x
  3. Step 3: Cross multiply
    6,407.85x = 8,842.86 × 3,756.81
  4. Step 4: Simplify right side
    6,407.85x = 33,220,944.88
  5. Step 5: Solve for x
    x = 33,220,944.88/6,407.85
  6. Step 6: Final answer
    x = 5,184.41

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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.