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Finding the Fourth Proportional to 4,494.78, 6,742.19 and 1,573.08

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Solution

The fourth proportional to 4,494.78, 6,742.19 and 1,573.08 is: 2,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.78 : 6,742.19 = 1,573.08 : x
  2. Step 2: Convert to fraction form
    4,494.78/6,742.19 = 1,573.08/x
  3. Step 3: Cross multiply
    4,494.78x = 6,742.19 × 1,573.08
  4. Step 4: Simplify right side
    4,494.78x = 10,606,004.25
  5. Step 5: Solve for x
    x = 10,606,004.25/4,494.78
  6. Step 6: Final answer
    x = 2,359.63

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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.