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Finding the Fourth Proportional to 4,924.91, 7,387.42 and 1,638.00

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Solution

The fourth proportional to 4,924.91, 7,387.42 and 1,638.00 is: 2,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.91 : 7,387.42 = 1,638.00 : x
  2. Step 2: Convert to fraction form
    4,924.91/7,387.42 = 1,638.00/x
  3. Step 3: Cross multiply
    4,924.91x = 7,387.42 × 1,638.00
  4. Step 4: Simplify right side
    4,924.91x = 12,100,593.81
  5. Step 5: Solve for x
    x = 12,100,593.81/4,924.91
  6. Step 6: Final answer
    x = 2,457.02

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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.