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Finding the Fourth Proportional to 3,643.96, 5,024.50 and 2,995.33

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Solution

The fourth proportional to 3,643.96, 5,024.50 and 2,995.33 is: 4,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.96 : 5,024.50 = 2,995.33 : x
  2. Step 2: Convert to fraction form
    3,643.96/5,024.50 = 2,995.33/x
  3. Step 3: Cross multiply
    3,643.96x = 5,024.50 × 2,995.33
  4. Step 4: Simplify right side
    3,643.96x = 15,050,035.59
  5. Step 5: Solve for x
    x = 15,050,035.59/3,643.96
  6. Step 6: Final answer
    x = 4,130.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.