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Finding the Fourth Proportional to 5,904.14, 8,857.02 and 2,007.50

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Solution

The fourth proportional to 5,904.14, 8,857.02 and 2,007.50 is: 3,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.14 : 8,857.02 = 2,007.50 : x
  2. Step 2: Convert to fraction form
    5,904.14/8,857.02 = 2,007.50/x
  3. Step 3: Cross multiply
    5,904.14x = 8,857.02 × 2,007.50
  4. Step 4: Simplify right side
    5,904.14x = 17,780,467.65
  5. Step 5: Solve for x
    x = 17,780,467.65/5,904.14
  6. Step 6: Final answer
    x = 3,011.53

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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.