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Finding the Fourth Proportional to 3,930.58, 5,894.30 and 1,737.76

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Solution

The fourth proportional to 3,930.58, 5,894.30 and 1,737.76 is: 2,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.58 : 5,894.30 = 1,737.76 : x
  2. Step 2: Convert to fraction form
    3,930.58/5,894.30 = 1,737.76/x
  3. Step 3: Cross multiply
    3,930.58x = 5,894.30 × 1,737.76
  4. Step 4: Simplify right side
    3,930.58x = 10,242,878.77
  5. Step 5: Solve for x
    x = 10,242,878.77/3,930.58
  6. Step 6: Final answer
    x = 2,605.95

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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.