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Finding the Fourth Proportional to 4,664.84, 6,995.16 and 2,473.07

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Solution

The fourth proportional to 4,664.84, 6,995.16 and 2,473.07 is: 3,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.84 : 6,995.16 = 2,473.07 : x
  2. Step 2: Convert to fraction form
    4,664.84/6,995.16 = 2,473.07/x
  3. Step 3: Cross multiply
    4,664.84x = 6,995.16 × 2,473.07
  4. Step 4: Simplify right side
    4,664.84x = 17,299,485.37
  5. Step 5: Solve for x
    x = 17,299,485.37/4,664.84
  6. Step 6: Final answer
    x = 3,708.49

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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.