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Finding the Fourth Proportional to 4,379.64, 6,570.24 and 1,606.72

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Solution

The fourth proportional to 4,379.64, 6,570.24 and 1,606.72 is: 2,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379.64 : 6,570.24 = 1,606.72 : x
  2. Step 2: Convert to fraction form
    4,379.64/6,570.24 = 1,606.72/x
  3. Step 3: Cross multiply
    4,379.64x = 6,570.24 × 1,606.72
  4. Step 4: Simplify right side
    4,379.64x = 10,556,536.01
  5. Step 5: Solve for x
    x = 10,556,536.01/4,379.64
  6. Step 6: Final answer
    x = 2,410.37

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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.