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Finding the Fourth Proportional to 5,969.79, 8,957.60 and 2,411.77

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Solution

The fourth proportional to 5,969.79, 8,957.60 and 2,411.77 is: 3,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.79 : 8,957.60 = 2,411.77 : x
  2. Step 2: Convert to fraction form
    5,969.79/8,957.60 = 2,411.77/x
  3. Step 3: Cross multiply
    5,969.79x = 8,957.60 × 2,411.77
  4. Step 4: Simplify right side
    5,969.79x = 21,603,670.95
  5. Step 5: Solve for x
    x = 21,603,670.95/5,969.79
  6. Step 6: Final answer
    x = 3,618.83

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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.