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Finding the Fourth Proportional to 3,486.24, 5,216.24 and 2,075.47

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Solution

The fourth proportional to 3,486.24, 5,216.24 and 2,075.47 is: 3,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.24 : 5,216.24 = 2,075.47 : x
  2. Step 2: Convert to fraction form
    3,486.24/5,216.24 = 2,075.47/x
  3. Step 3: Cross multiply
    3,486.24x = 5,216.24 × 2,075.47
  4. Step 4: Simplify right side
    3,486.24x = 10,826,113.17
  5. Step 5: Solve for x
    x = 10,826,113.17/3,486.24
  6. Step 6: Final answer
    x = 3,105.39

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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.