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Finding the Fourth Proportional to 4,637.43, 6,956.19 and 2,174.00

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Solution

The fourth proportional to 4,637.43, 6,956.19 and 2,174.00 is: 3,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.43 : 6,956.19 = 2,174.00 : x
  2. Step 2: Convert to fraction form
    4,637.43/6,956.19 = 2,174.00/x
  3. Step 3: Cross multiply
    4,637.43x = 6,956.19 × 2,174.00
  4. Step 4: Simplify right side
    4,637.43x = 15,122,722.28
  5. Step 5: Solve for x
    x = 15,122,722.28/4,637.43
  6. Step 6: Final answer
    x = 3,261.01

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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.