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Finding the Fourth Proportional to 4,764.96, 7,146.36 and 1,301.76

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Solution

The fourth proportional to 4,764.96, 7,146.36 and 1,301.76 is: 1,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.96 : 7,146.36 = 1,301.76 : x
  2. Step 2: Convert to fraction form
    4,764.96/7,146.36 = 1,301.76/x
  3. Step 3: Cross multiply
    4,764.96x = 7,146.36 × 1,301.76
  4. Step 4: Simplify right side
    4,764.96x = 9,302,845.59
  5. Step 5: Solve for x
    x = 9,302,845.59/4,764.96
  6. Step 6: Final answer
    x = 1,952.34

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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.