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Finding the Fourth Proportional to 4,609.58, 6,919.43 and 2,417.72

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Solution

The fourth proportional to 4,609.58, 6,919.43 and 2,417.72 is: 3,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.58 : 6,919.43 = 2,417.72 : x
  2. Step 2: Convert to fraction form
    4,609.58/6,919.43 = 2,417.72/x
  3. Step 3: Cross multiply
    4,609.58x = 6,919.43 × 2,417.72
  4. Step 4: Simplify right side
    4,609.58x = 16,729,197.61
  5. Step 5: Solve for x
    x = 16,729,197.61/4,609.58
  6. Step 6: Final answer
    x = 3,629.23

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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.