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Finding the Fourth Proportional to 4,964.99, 7,436.14 and 2,369.75

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Solution

The fourth proportional to 4,964.99, 7,436.14 and 2,369.75 is: 3,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.99 : 7,436.14 = 2,369.75 : x
  2. Step 2: Convert to fraction form
    4,964.99/7,436.14 = 2,369.75/x
  3. Step 3: Cross multiply
    4,964.99x = 7,436.14 × 2,369.75
  4. Step 4: Simplify right side
    4,964.99x = 17,621,774.17
  5. Step 5: Solve for x
    x = 17,621,774.17/4,964.99
  6. Step 6: Final answer
    x = 3,549.21

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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.