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Finding the Fourth Proportional to 4,672.54, 7,007.61 and 1,384.86

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Solution

The fourth proportional to 4,672.54, 7,007.61 and 1,384.86 is: 2,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.54 : 7,007.61 = 1,384.86 : x
  2. Step 2: Convert to fraction form
    4,672.54/7,007.61 = 1,384.86/x
  3. Step 3: Cross multiply
    4,672.54x = 7,007.61 × 1,384.86
  4. Step 4: Simplify right side
    4,672.54x = 9,704,548.29
  5. Step 5: Solve for x
    x = 9,704,548.29/4,672.54
  6. Step 6: Final answer
    x = 2,076.93

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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.