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Finding the Fourth Proportional to 4,924.99, 7,387.60 and 1,638.35

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Solution

The fourth proportional to 4,924.99, 7,387.60 and 1,638.35 is: 2,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.99 : 7,387.60 = 1,638.35 : x
  2. Step 2: Convert to fraction form
    4,924.99/7,387.60 = 1,638.35/x
  3. Step 3: Cross multiply
    4,924.99x = 7,387.60 × 1,638.35
  4. Step 4: Simplify right side
    4,924.99x = 12,103,474.46
  5. Step 5: Solve for x
    x = 12,103,474.46/4,924.99
  6. Step 6: Final answer
    x = 2,457.56

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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.