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Finding the Fourth Proportional to 3,574.67, 4,933.05 and 1,981.40

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Solution

The fourth proportional to 3,574.67, 4,933.05 and 1,981.40 is: 2,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.67 : 4,933.05 = 1,981.40 : x
  2. Step 2: Convert to fraction form
    3,574.67/4,933.05 = 1,981.40/x
  3. Step 3: Cross multiply
    3,574.67x = 4,933.05 × 1,981.40
  4. Step 4: Simplify right side
    3,574.67x = 9,774,345.27
  5. Step 5: Solve for x
    x = 9,774,345.27/3,574.67
  6. Step 6: Final answer
    x = 2,734.33

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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.