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Finding the Fourth Proportional to 5,923.40, 8,898.30 and 4,951.40

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Solution

The fourth proportional to 5,923.40, 8,898.30 and 4,951.40 is: 7,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.40 : 8,898.30 = 4,951.40 : x
  2. Step 2: Convert to fraction form
    5,923.40/8,898.30 = 4,951.40/x
  3. Step 3: Cross multiply
    5,923.40x = 8,898.30 × 4,951.40
  4. Step 4: Simplify right side
    5,923.40x = 44,059,042.62
  5. Step 5: Solve for x
    x = 44,059,042.62/5,923.40
  6. Step 6: Final answer
    x = 7,438.13

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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.