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Finding the Fourth Proportional to 4,369.07, 6,554 and 1,249.10

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Solution

The fourth proportional to 4,369.07, 6,554 and 1,249.10 is: 1,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.07 : 6,554 = 1,249.10 : x
  2. Step 2: Convert to fraction form
    4,369.07/6,554 = 1,249.10/x
  3. Step 3: Cross multiply
    4,369.07x = 6,554 × 1,249.10
  4. Step 4: Simplify right side
    4,369.07x = 8,186,601.40
  5. Step 5: Solve for x
    x = 8,186,601.40/4,369.07
  6. Step 6: Final answer
    x = 1,873.76

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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.