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Finding the Fourth Proportional to 4,764.42, 7,146.72 and 1,301.67

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Solution

The fourth proportional to 4,764.42, 7,146.72 and 1,301.67 is: 1,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.42 : 7,146.72 = 1,301.67 : x
  2. Step 2: Convert to fraction form
    4,764.42/7,146.72 = 1,301.67/x
  3. Step 3: Cross multiply
    4,764.42x = 7,146.72 × 1,301.67
  4. Step 4: Simplify right side
    4,764.42x = 9,302,671.02
  5. Step 5: Solve for x
    x = 9,302,671.02/4,764.42
  6. Step 6: Final answer
    x = 1,952.53

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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.