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Finding the Fourth Proportional to 4,652.89, 6,964.17 and 3,419.98

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Solution

The fourth proportional to 4,652.89, 6,964.17 and 3,419.98 is: 5,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.89 : 6,964.17 = 3,419.98 : x
  2. Step 2: Convert to fraction form
    4,652.89/6,964.17 = 3,419.98/x
  3. Step 3: Cross multiply
    4,652.89x = 6,964.17 × 3,419.98
  4. Step 4: Simplify right side
    4,652.89x = 23,817,322.12
  5. Step 5: Solve for x
    x = 23,817,322.12/4,652.89
  6. Step 6: Final answer
    x = 5,118.82

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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.