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Finding the Fourth Proportional to 5,289.50, 7,934.70 and 1,393.92

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Solution

The fourth proportional to 5,289.50, 7,934.70 and 1,393.92 is: 2,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.50 : 7,934.70 = 1,393.92 : x
  2. Step 2: Convert to fraction form
    5,289.50/7,934.70 = 1,393.92/x
  3. Step 3: Cross multiply
    5,289.50x = 7,934.70 × 1,393.92
  4. Step 4: Simplify right side
    5,289.50x = 11,060,337.02
  5. Step 5: Solve for x
    x = 11,060,337.02/5,289.50
  6. Step 6: Final answer
    x = 2,091.00

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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.