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Finding the Fourth Proportional to 4,495.86, 6,744.42 and 1,533.42

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Solution

The fourth proportional to 4,495.86, 6,744.42 and 1,533.42 is: 2,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.86 : 6,744.42 = 1,533.42 : x
  2. Step 2: Convert to fraction form
    4,495.86/6,744.42 = 1,533.42/x
  3. Step 3: Cross multiply
    4,495.86x = 6,744.42 × 1,533.42
  4. Step 4: Simplify right side
    4,495.86x = 10,342,028.52
  5. Step 5: Solve for x
    x = 10,342,028.52/4,495.86
  6. Step 6: Final answer
    x = 2,300.34

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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.