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Finding the Fourth Proportional to 3,679.78, 5,075.34 and 2,602.61

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Solution

The fourth proportional to 3,679.78, 5,075.34 and 2,602.61 is: 3,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.78 : 5,075.34 = 2,602.61 : x
  2. Step 2: Convert to fraction form
    3,679.78/5,075.34 = 2,602.61/x
  3. Step 3: Cross multiply
    3,679.78x = 5,075.34 × 2,602.61
  4. Step 4: Simplify right side
    3,679.78x = 13,209,130.64
  5. Step 5: Solve for x
    x = 13,209,130.64/3,679.78
  6. Step 6: Final answer
    x = 3,589.65

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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.