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Finding the Fourth Proportional to 4,894.58, 7,342.50 and 1,606.56

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Solution

The fourth proportional to 4,894.58, 7,342.50 and 1,606.56 is: 2,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.58 : 7,342.50 = 1,606.56 : x
  2. Step 2: Convert to fraction form
    4,894.58/7,342.50 = 1,606.56/x
  3. Step 3: Cross multiply
    4,894.58x = 7,342.50 × 1,606.56
  4. Step 4: Simplify right side
    4,894.58x = 11,796,166.80
  5. Step 5: Solve for x
    x = 11,796,166.80/4,894.58
  6. Step 6: Final answer
    x = 2,410.05

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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.