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Finding the Fourth Proportional to 4,672.14, 7,007.02 and 1,384.47

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Solution

The fourth proportional to 4,672.14, 7,007.02 and 1,384.47 is: 2,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.14 : 7,007.02 = 1,384.47 : x
  2. Step 2: Convert to fraction form
    4,672.14/7,007.02 = 1,384.47/x
  3. Step 3: Cross multiply
    4,672.14x = 7,007.02 × 1,384.47
  4. Step 4: Simplify right side
    4,672.14x = 9,701,013.31
  5. Step 5: Solve for x
    x = 9,701,013.31/4,672.14
  6. Step 6: Final answer
    x = 2,076.35

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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.