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Finding the Fourth Proportional to 3,679.59, 5,075.55 and 2,282.34

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Solution

The fourth proportional to 3,679.59, 5,075.55 and 2,282.34 is: 3,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.59 : 5,075.55 = 2,282.34 : x
  2. Step 2: Convert to fraction form
    3,679.59/5,075.55 = 2,282.34/x
  3. Step 3: Cross multiply
    3,679.59x = 5,075.55 × 2,282.34
  4. Step 4: Simplify right side
    3,679.59x = 11,584,130.79
  5. Step 5: Solve for x
    x = 11,584,130.79/3,679.59
  6. Step 6: Final answer
    x = 3,148.21

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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.