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Finding the Fourth Proportional to 3,774.60, 5,664.11 and 1,583.15

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Solution

The fourth proportional to 3,774.60, 5,664.11 and 1,583.15 is: 2,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.60 : 5,664.11 = 1,583.15 : x
  2. Step 2: Convert to fraction form
    3,774.60/5,664.11 = 1,583.15/x
  3. Step 3: Cross multiply
    3,774.60x = 5,664.11 × 1,583.15
  4. Step 4: Simplify right side
    3,774.60x = 8,967,099.51
  5. Step 5: Solve for x
    x = 8,967,099.51/3,774.60
  6. Step 6: Final answer
    x = 2,375.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.