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Finding the Fourth Proportional to 5,309.93, 7,964.88 and 2,384.81

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Solution

The fourth proportional to 5,309.93, 7,964.88 and 2,384.81 is: 3,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.93 : 7,964.88 = 2,384.81 : x
  2. Step 2: Convert to fraction form
    5,309.93/7,964.88 = 2,384.81/x
  3. Step 3: Cross multiply
    5,309.93x = 7,964.88 × 2,384.81
  4. Step 4: Simplify right side
    5,309.93x = 18,994,725.47
  5. Step 5: Solve for x
    x = 18,994,725.47/5,309.93
  6. Step 6: Final answer
    x = 3,577.21

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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.