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Finding the Fourth Proportional to 4,983.93, 7,475.90 and 4,342.41

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Solution

The fourth proportional to 4,983.93, 7,475.90 and 4,342.41 is: 6,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.93 : 7,475.90 = 4,342.41 : x
  2. Step 2: Convert to fraction form
    4,983.93/7,475.90 = 4,342.41/x
  3. Step 3: Cross multiply
    4,983.93x = 7,475.90 × 4,342.41
  4. Step 4: Simplify right side
    4,983.93x = 32,463,401.21
  5. Step 5: Solve for x
    x = 32,463,401.21/4,983.93
  6. Step 6: Final answer
    x = 6,513.62

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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.