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Finding the Fourth Proportional to 4,637.46, 6,956.19 and 1,174.44

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Solution

The fourth proportional to 4,637.46, 6,956.19 and 1,174.44 is: 1,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.46 : 6,956.19 = 1,174.44 : x
  2. Step 2: Convert to fraction form
    4,637.46/6,956.19 = 1,174.44/x
  3. Step 3: Cross multiply
    4,637.46x = 6,956.19 × 1,174.44
  4. Step 4: Simplify right side
    4,637.46x = 8,169,627.78
  5. Step 5: Solve for x
    x = 8,169,627.78/4,637.46
  6. Step 6: Final answer
    x = 1,761.66

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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.