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Finding the Fourth Proportional to 5,741.76, 8,595.90 and 4,267.50

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Solution

The fourth proportional to 5,741.76, 8,595.90 and 4,267.50 is: 6,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.76 : 8,595.90 = 4,267.50 : x
  2. Step 2: Convert to fraction form
    5,741.76/8,595.90 = 4,267.50/x
  3. Step 3: Cross multiply
    5,741.76x = 8,595.90 × 4,267.50
  4. Step 4: Simplify right side
    5,741.76x = 36,683,003.25
  5. Step 5: Solve for x
    x = 36,683,003.25/5,741.76
  6. Step 6: Final answer
    x = 6,388.81

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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.