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Finding the Fourth Proportional to 3,746.56, 5,618.40 and 1,894

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Solution

The fourth proportional to 3,746.56, 5,618.40 and 1,894 is: 2,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.56 : 5,618.40 = 1,894 : x
  2. Step 2: Convert to fraction form
    3,746.56/5,618.40 = 1,894/x
  3. Step 3: Cross multiply
    3,746.56x = 5,618.40 × 1,894
  4. Step 4: Simplify right side
    3,746.56x = 10,641,249.60
  5. Step 5: Solve for x
    x = 10,641,249.60/3,746.56
  6. Step 6: Final answer
    x = 2,840.27

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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.