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Finding the Fourth Proportional to 5,995.64, 8,994.10 and 2,301

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Solution

The fourth proportional to 5,995.64, 8,994.10 and 2,301 is: 3,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.64 : 8,994.10 = 2,301 : x
  2. Step 2: Convert to fraction form
    5,995.64/8,994.10 = 2,301/x
  3. Step 3: Cross multiply
    5,995.64x = 8,994.10 × 2,301
  4. Step 4: Simplify right side
    5,995.64x = 20,695,424.10
  5. Step 5: Solve for x
    x = 20,695,424.10/5,995.64
  6. Step 6: Final answer
    x = 3,451.75

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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.