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Finding the Fourth Proportional to 5,415.75, 8,124.93 and 2,782.22

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Solution

The fourth proportional to 5,415.75, 8,124.93 and 2,782.22 is: 4,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.75 : 8,124.93 = 2,782.22 : x
  2. Step 2: Convert to fraction form
    5,415.75/8,124.93 = 2,782.22/x
  3. Step 3: Cross multiply
    5,415.75x = 8,124.93 × 2,782.22
  4. Step 4: Simplify right side
    5,415.75x = 22,605,302.12
  5. Step 5: Solve for x
    x = 22,605,302.12/5,415.75
  6. Step 6: Final answer
    x = 4,173.99

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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.