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Finding the Fourth Proportional to 4,749.66, 7,126.04 and 2,284.68

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Solution

The fourth proportional to 4,749.66, 7,126.04 and 2,284.68 is: 3,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.66 : 7,126.04 = 2,284.68 : x
  2. Step 2: Convert to fraction form
    4,749.66/7,126.04 = 2,284.68/x
  3. Step 3: Cross multiply
    4,749.66x = 7,126.04 × 2,284.68
  4. Step 4: Simplify right side
    4,749.66x = 16,280,721.07
  5. Step 5: Solve for x
    x = 16,280,721.07/4,749.66
  6. Step 6: Final answer
    x = 3,427.77

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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.