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Finding the Fourth Proportional to 5,216.14, 7,823.80 and 1,518.40

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Solution

The fourth proportional to 5,216.14, 7,823.80 and 1,518.40 is: 2,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.14 : 7,823.80 = 1,518.40 : x
  2. Step 2: Convert to fraction form
    5,216.14/7,823.80 = 1,518.40/x
  3. Step 3: Cross multiply
    5,216.14x = 7,823.80 × 1,518.40
  4. Step 4: Simplify right side
    5,216.14x = 11,879,657.92
  5. Step 5: Solve for x
    x = 11,879,657.92/5,216.14
  6. Step 6: Final answer
    x = 2,277.48

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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.