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Finding the Fourth Proportional to 4,564.72, 6,846.36 and 1,486

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Solution

The fourth proportional to 4,564.72, 6,846.36 and 1,486 is: 2,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.72 : 6,846.36 = 1,486 : x
  2. Step 2: Convert to fraction form
    4,564.72/6,846.36 = 1,486/x
  3. Step 3: Cross multiply
    4,564.72x = 6,846.36 × 1,486
  4. Step 4: Simplify right side
    4,564.72x = 10,173,690.96
  5. Step 5: Solve for x
    x = 10,173,690.96/4,564.72
  6. Step 6: Final answer
    x = 2,228.77

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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.