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Finding the Fourth Proportional to 4,615.92, 6,920.10 and 1,841.94

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Solution

The fourth proportional to 4,615.92, 6,920.10 and 1,841.94 is: 2,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.92 : 6,920.10 = 1,841.94 : x
  2. Step 2: Convert to fraction form
    4,615.92/6,920.10 = 1,841.94/x
  3. Step 3: Cross multiply
    4,615.92x = 6,920.10 × 1,841.94
  4. Step 4: Simplify right side
    4,615.92x = 12,746,408.99
  5. Step 5: Solve for x
    x = 12,746,408.99/4,615.92
  6. Step 6: Final answer
    x = 2,761.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.