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Finding the Fourth Proportional to 3,980.40, 5,971.74 and 1,898.76

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Solution

The fourth proportional to 3,980.40, 5,971.74 and 1,898.76 is: 2,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.40 : 5,971.74 = 1,898.76 : x
  2. Step 2: Convert to fraction form
    3,980.40/5,971.74 = 1,898.76/x
  3. Step 3: Cross multiply
    3,980.40x = 5,971.74 × 1,898.76
  4. Step 4: Simplify right side
    3,980.40x = 11,338,901.04
  5. Step 5: Solve for x
    x = 11,338,901.04/3,980.40
  6. Step 6: Final answer
    x = 2,848.68

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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.