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Finding the Fourth Proportional to 3,100.35, 4,644.24 and 1,535.64

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Solution

The fourth proportional to 3,100.35, 4,644.24 and 1,535.64 is: 2,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.35 : 4,644.24 = 1,535.64 : x
  2. Step 2: Convert to fraction form
    3,100.35/4,644.24 = 1,535.64/x
  3. Step 3: Cross multiply
    3,100.35x = 4,644.24 × 1,535.64
  4. Step 4: Simplify right side
    3,100.35x = 7,131,880.71
  5. Step 5: Solve for x
    x = 7,131,880.71/3,100.35
  6. Step 6: Final answer
    x = 2,300.35

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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.