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Finding the Fourth Proportional to 4,494.48, 6,741.92 and 1,573.08

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Solution

The fourth proportional to 4,494.48, 6,741.92 and 1,573.08 is: 2,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.48 : 6,741.92 = 1,573.08 : x
  2. Step 2: Convert to fraction form
    4,494.48/6,741.92 = 1,573.08/x
  3. Step 3: Cross multiply
    4,494.48x = 6,741.92 × 1,573.08
  4. Step 4: Simplify right side
    4,494.48x = 10,605,579.51
  5. Step 5: Solve for x
    x = 10,605,579.51/4,494.48
  6. Step 6: Final answer
    x = 2,359.69

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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.