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Finding the Fourth Proportional to 3,711.45, 5,113.02 and 2,590.41

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Solution

The fourth proportional to 3,711.45, 5,113.02 and 2,590.41 is: 3,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.45 : 5,113.02 = 2,590.41 : x
  2. Step 2: Convert to fraction form
    3,711.45/5,113.02 = 2,590.41/x
  3. Step 3: Cross multiply
    3,711.45x = 5,113.02 × 2,590.41
  4. Step 4: Simplify right side
    3,711.45x = 13,244,818.14
  5. Step 5: Solve for x
    x = 13,244,818.14/3,711.45
  6. Step 6: Final answer
    x = 3,568.64

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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.