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Finding the Fourth Proportional to 5,154.24, 7,731.93 and 1,643.43

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Solution

The fourth proportional to 5,154.24, 7,731.93 and 1,643.43 is: 2,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.24 : 7,731.93 = 1,643.43 : x
  2. Step 2: Convert to fraction form
    5,154.24/7,731.93 = 1,643.43/x
  3. Step 3: Cross multiply
    5,154.24x = 7,731.93 × 1,643.43
  4. Step 4: Simplify right side
    5,154.24x = 12,706,877.50
  5. Step 5: Solve for x
    x = 12,706,877.50/5,154.24
  6. Step 6: Final answer
    x = 2,465.33

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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.