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Finding the Fourth Proportional to 5,923.68, 8,885.52 and 4,767

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Solution

The fourth proportional to 5,923.68, 8,885.52 and 4,767 is: 7,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.68 : 8,885.52 = 4,767 : x
  2. Step 2: Convert to fraction form
    5,923.68/8,885.52 = 4,767/x
  3. Step 3: Cross multiply
    5,923.68x = 8,885.52 × 4,767
  4. Step 4: Simplify right side
    5,923.68x = 42,357,273.84
  5. Step 5: Solve for x
    x = 42,357,273.84/5,923.68
  6. Step 6: Final answer
    x = 7,150.50

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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.