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Finding the Fourth Proportional to 3,677.52, 5,075.16 and 2,280.72

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Solution

The fourth proportional to 3,677.52, 5,075.16 and 2,280.72 is: 3,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.52 : 5,075.16 = 2,280.72 : x
  2. Step 2: Convert to fraction form
    3,677.52/5,075.16 = 2,280.72/x
  3. Step 3: Cross multiply
    3,677.52x = 5,075.16 × 2,280.72
  4. Step 4: Simplify right side
    3,677.52x = 11,575,018.92
  5. Step 5: Solve for x
    x = 11,575,018.92/3,677.52
  6. Step 6: Final answer
    x = 3,147.51

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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.