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Finding the Fourth Proportional to 4,643.79, 6,953.13 and 3,401.79

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Solution

The fourth proportional to 4,643.79, 6,953.13 and 3,401.79 is: 5,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.79 : 6,953.13 = 3,401.79 : x
  2. Step 2: Convert to fraction form
    4,643.79/6,953.13 = 3,401.79/x
  3. Step 3: Cross multiply
    4,643.79x = 6,953.13 × 3,401.79
  4. Step 4: Simplify right side
    4,643.79x = 23,653,088.10
  5. Step 5: Solve for x
    x = 23,653,088.10/4,643.79
  6. Step 6: Final answer
    x = 5,093.49

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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.