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Finding the Fourth Proportional to 4,651.64, 6,973.82 and 2,185.19

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Solution

The fourth proportional to 4,651.64, 6,973.82 and 2,185.19 is: 3,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.64 : 6,973.82 = 2,185.19 : x
  2. Step 2: Convert to fraction form
    4,651.64/6,973.82 = 2,185.19/x
  3. Step 3: Cross multiply
    4,651.64x = 6,973.82 × 2,185.19
  4. Step 4: Simplify right side
    4,651.64x = 15,239,110.80
  5. Step 5: Solve for x
    x = 15,239,110.80/4,651.64
  6. Step 6: Final answer
    x = 3,276.07

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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.