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Finding the Fourth Proportional to 4,637.56, 6,956.36 and 1,174.84

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Solution

The fourth proportional to 4,637.56, 6,956.36 and 1,174.84 is: 1,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.56 : 6,956.36 = 1,174.84 : x
  2. Step 2: Convert to fraction form
    4,637.56/6,956.36 = 1,174.84/x
  3. Step 3: Cross multiply
    4,637.56x = 6,956.36 × 1,174.84
  4. Step 4: Simplify right side
    4,637.56x = 8,172,609.98
  5. Step 5: Solve for x
    x = 8,172,609.98/4,637.56
  6. Step 6: Final answer
    x = 1,762.27

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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.