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Finding the Fourth Proportional to 5,371.74, 7,412.88 and 2,981.57

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Solution

The fourth proportional to 5,371.74, 7,412.88 and 2,981.57 is: 4,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.74 : 7,412.88 = 2,981.57 : x
  2. Step 2: Convert to fraction form
    5,371.74/7,412.88 = 2,981.57/x
  3. Step 3: Cross multiply
    5,371.74x = 7,412.88 × 2,981.57
  4. Step 4: Simplify right side
    5,371.74x = 22,102,011.36
  5. Step 5: Solve for x
    x = 22,102,011.36/5,371.74
  6. Step 6: Final answer
    x = 4,114.50

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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.