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Finding the Fourth Proportional to 5,849.16, 8,077.23 and 3,756.93

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Solution

The fourth proportional to 5,849.16, 8,077.23 and 3,756.93 is: 5,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.16 : 8,077.23 = 3,756.93 : x
  2. Step 2: Convert to fraction form
    5,849.16/8,077.23 = 3,756.93/x
  3. Step 3: Cross multiply
    5,849.16x = 8,077.23 × 3,756.93
  4. Step 4: Simplify right side
    5,849.16x = 30,345,587.70
  5. Step 5: Solve for x
    x = 30,345,587.70/5,849.16
  6. Step 6: Final answer
    x = 5,188.02

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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.