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Finding the Fourth Proportional to 4,405.20, 6,075.99 and 3,741

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Solution

The fourth proportional to 4,405.20, 6,075.99 and 3,741 is: 5,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.20 : 6,075.99 = 3,741 : x
  2. Step 2: Convert to fraction form
    4,405.20/6,075.99 = 3,741/x
  3. Step 3: Cross multiply
    4,405.20x = 6,075.99 × 3,741
  4. Step 4: Simplify right side
    4,405.20x = 22,730,278.59
  5. Step 5: Solve for x
    x = 22,730,278.59/4,405.20
  6. Step 6: Final answer
    x = 5,159.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.