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Finding the Fourth Proportional to 4,764.38, 7,146.70 and 1,301.63

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Solution

The fourth proportional to 4,764.38, 7,146.70 and 1,301.63 is: 1,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.38 : 7,146.70 = 1,301.63 : x
  2. Step 2: Convert to fraction form
    4,764.38/7,146.70 = 1,301.63/x
  3. Step 3: Cross multiply
    4,764.38x = 7,146.70 × 1,301.63
  4. Step 4: Simplify right side
    4,764.38x = 9,302,320.13
  5. Step 5: Solve for x
    x = 9,302,320.13/4,764.38
  6. Step 6: Final answer
    x = 1,952.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.