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Finding the Fourth Proportional to 5,216.48, 7,826 and 1,518.74

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Solution

The fourth proportional to 5,216.48, 7,826 and 1,518.74 is: 2,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.48 : 7,826 = 1,518.74 : x
  2. Step 2: Convert to fraction form
    5,216.48/7,826 = 1,518.74/x
  3. Step 3: Cross multiply
    5,216.48x = 7,826 × 1,518.74
  4. Step 4: Simplify right side
    5,216.48x = 11,885,659.24
  5. Step 5: Solve for x
    x = 11,885,659.24/5,216.48
  6. Step 6: Final answer
    x = 2,278.48

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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.