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Finding the Fourth Proportional to 4,946.09, 7,416.43 and 2,021.99

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Solution

The fourth proportional to 4,946.09, 7,416.43 and 2,021.99 is: 3,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.09 : 7,416.43 = 2,021.99 : x
  2. Step 2: Convert to fraction form
    4,946.09/7,416.43 = 2,021.99/x
  3. Step 3: Cross multiply
    4,946.09x = 7,416.43 × 2,021.99
  4. Step 4: Simplify right side
    4,946.09x = 14,995,905.16
  5. Step 5: Solve for x
    x = 14,995,905.16/4,946.09
  6. Step 6: Final answer
    x = 3,031.87

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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.