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Finding the Fourth Proportional to 3,919.41, 5,409.02 and 2,590.80

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Solution

The fourth proportional to 3,919.41, 5,409.02 and 2,590.80 is: 3,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.41 : 5,409.02 = 2,590.80 : x
  2. Step 2: Convert to fraction form
    3,919.41/5,409.02 = 2,590.80/x
  3. Step 3: Cross multiply
    3,919.41x = 5,409.02 × 2,590.80
  4. Step 4: Simplify right side
    3,919.41x = 14,013,689.02
  5. Step 5: Solve for x
    x = 14,013,689.02/3,919.41
  6. Step 6: Final answer
    x = 3,575.46

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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.