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Finding the Fourth Proportional to 4,188.57, 5,780.22 and 2,511.39

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Solution

The fourth proportional to 4,188.57, 5,780.22 and 2,511.39 is: 3,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.57 : 5,780.22 = 2,511.39 : x
  2. Step 2: Convert to fraction form
    4,188.57/5,780.22 = 2,511.39/x
  3. Step 3: Cross multiply
    4,188.57x = 5,780.22 × 2,511.39
  4. Step 4: Simplify right side
    4,188.57x = 14,516,386.71
  5. Step 5: Solve for x
    x = 14,516,386.71/4,188.57
  6. Step 6: Final answer
    x = 3,465.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.