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Finding the Fourth Proportional to 5,193.16, 7,774.62 and 2,722.12

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Solution

The fourth proportional to 5,193.16, 7,774.62 and 2,722.12 is: 4,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.16 : 7,774.62 = 2,722.12 : x
  2. Step 2: Convert to fraction form
    5,193.16/7,774.62 = 2,722.12/x
  3. Step 3: Cross multiply
    5,193.16x = 7,774.62 × 2,722.12
  4. Step 4: Simplify right side
    5,193.16x = 21,163,448.59
  5. Step 5: Solve for x
    x = 21,163,448.59/5,193.16
  6. Step 6: Final answer
    x = 4,075.25

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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.