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Finding the Fourth Proportional to 3,574.42, 4,932.71 and 1,981.15

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Solution

The fourth proportional to 3,574.42, 4,932.71 and 1,981.15 is: 2,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.42 : 4,932.71 = 1,981.15 : x
  2. Step 2: Convert to fraction form
    3,574.42/4,932.71 = 1,981.15/x
  3. Step 3: Cross multiply
    3,574.42x = 4,932.71 × 1,981.15
  4. Step 4: Simplify right side
    3,574.42x = 9,772,428.51
  5. Step 5: Solve for x
    x = 9,772,428.51/3,574.42
  6. Step 6: Final answer
    x = 2,733.99

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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.