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Finding the Fourth Proportional to 3,590.78, 5,381.30 and 2,542.64

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Solution

The fourth proportional to 3,590.78, 5,381.30 and 2,542.64 is: 3,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.78 : 5,381.30 = 2,542.64 : x
  2. Step 2: Convert to fraction form
    3,590.78/5,381.30 = 2,542.64/x
  3. Step 3: Cross multiply
    3,590.78x = 5,381.30 × 2,542.64
  4. Step 4: Simplify right side
    3,590.78x = 13,682,708.63
  5. Step 5: Solve for x
    x = 13,682,708.63/3,590.78
  6. Step 6: Final answer
    x = 3,810.51

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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.