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Finding the Fourth Proportional to 5,838.41, 8,756.54 and 1,941.77

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Solution

The fourth proportional to 5,838.41, 8,756.54 and 1,941.77 is: 2,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.41 : 8,756.54 = 1,941.77 : x
  2. Step 2: Convert to fraction form
    5,838.41/8,756.54 = 1,941.77/x
  3. Step 3: Cross multiply
    5,838.41x = 8,756.54 × 1,941.77
  4. Step 4: Simplify right side
    5,838.41x = 17,003,176.97
  5. Step 5: Solve for x
    x = 17,003,176.97/5,838.41
  6. Step 6: Final answer
    x = 2,912.30

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1.5x scale

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.