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Finding the Fourth Proportional to 4,946.72, 7,416.88 and 2,021.52

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Solution

The fourth proportional to 4,946.72, 7,416.88 and 2,021.52 is: 3,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.72 : 7,416.88 = 2,021.52 : x
  2. Step 2: Convert to fraction form
    4,946.72/7,416.88 = 2,021.52/x
  3. Step 3: Cross multiply
    4,946.72x = 7,416.88 × 2,021.52
  4. Step 4: Simplify right side
    4,946.72x = 14,993,371.26
  5. Step 5: Solve for x
    x = 14,993,371.26/4,946.72
  6. Step 6: Final answer
    x = 3,030.97

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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.