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Finding the Fourth Proportional to 3,386.84, 4,673.74 and 1,894.73

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Solution

The fourth proportional to 3,386.84, 4,673.74 and 1,894.73 is: 2,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.84 : 4,673.74 = 1,894.73 : x
  2. Step 2: Convert to fraction form
    3,386.84/4,673.74 = 1,894.73/x
  3. Step 3: Cross multiply
    3,386.84x = 4,673.74 × 1,894.73
  4. Step 4: Simplify right side
    3,386.84x = 8,855,458.18
  5. Step 5: Solve for x
    x = 8,855,458.18/3,386.84
  6. Step 6: Final answer
    x = 2,614.66

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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.