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Finding the Fourth Proportional to 4,651.68, 6,973.20 and 3,684

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Solution

The fourth proportional to 4,651.68, 6,973.20 and 3,684 is: 5,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.68 : 6,973.20 = 3,684 : x
  2. Step 2: Convert to fraction form
    4,651.68/6,973.20 = 3,684/x
  3. Step 3: Cross multiply
    4,651.68x = 6,973.20 × 3,684
  4. Step 4: Simplify right side
    4,651.68x = 25,689,268.80
  5. Step 5: Solve for x
    x = 25,689,268.80/4,651.68
  6. Step 6: Final answer
    x = 5,522.58

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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.