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Finding the Fourth Proportional to 3,746.59, 5,623.34 and 1,899

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Solution

The fourth proportional to 3,746.59, 5,623.34 and 1,899 is: 2,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.59 : 5,623.34 = 1,899 : x
  2. Step 2: Convert to fraction form
    3,746.59/5,623.34 = 1,899/x
  3. Step 3: Cross multiply
    3,746.59x = 5,623.34 × 1,899
  4. Step 4: Simplify right side
    3,746.59x = 10,678,722.66
  5. Step 5: Solve for x
    x = 10,678,722.66/3,746.59
  6. Step 6: Final answer
    x = 2,850.25

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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.