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Finding the Fourth Proportional to 5,371.98, 7,412.68 and 2,981.94

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Solution

The fourth proportional to 5,371.98, 7,412.68 and 2,981.94 is: 4,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.98 : 7,412.68 = 2,981.94 : x
  2. Step 2: Convert to fraction form
    5,371.98/7,412.68 = 2,981.94/x
  3. Step 3: Cross multiply
    5,371.98x = 7,412.68 × 2,981.94
  4. Step 4: Simplify right side
    5,371.98x = 22,104,167.00
  5. Step 5: Solve for x
    x = 22,104,167.00/5,371.98
  6. Step 6: Final answer
    x = 4,114.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.