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Finding the Fourth Proportional to 4,676.47, 7,016.02 and 1,389.62

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Solution

The fourth proportional to 4,676.47, 7,016.02 and 1,389.62 is: 2,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.47 : 7,016.02 = 1,389.62 : x
  2. Step 2: Convert to fraction form
    4,676.47/7,016.02 = 1,389.62/x
  3. Step 3: Cross multiply
    4,676.47x = 7,016.02 × 1,389.62
  4. Step 4: Simplify right side
    4,676.47x = 9,749,615.78
  5. Step 5: Solve for x
    x = 9,749,615.78/4,676.47
  6. Step 6: Final answer
    x = 2,084.82

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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.