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Finding the Fourth Proportional to 5,254.85, 7,883.44 and 2,293.77

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Solution

The fourth proportional to 5,254.85, 7,883.44 and 2,293.77 is: 3,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.85 : 7,883.44 = 2,293.77 : x
  2. Step 2: Convert to fraction form
    5,254.85/7,883.44 = 2,293.77/x
  3. Step 3: Cross multiply
    5,254.85x = 7,883.44 × 2,293.77
  4. Step 4: Simplify right side
    5,254.85x = 18,082,798.17
  5. Step 5: Solve for x
    x = 18,082,798.17/5,254.85
  6. Step 6: Final answer
    x = 3,441.16

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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.