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Finding the Fourth Proportional to 3,704.86, 5,559.47 and 1,366.51

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Solution

The fourth proportional to 3,704.86, 5,559.47 and 1,366.51 is: 2,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.86 : 5,559.47 = 1,366.51 : x
  2. Step 2: Convert to fraction form
    3,704.86/5,559.47 = 1,366.51/x
  3. Step 3: Cross multiply
    3,704.86x = 5,559.47 × 1,366.51
  4. Step 4: Simplify right side
    3,704.86x = 7,597,071.35
  5. Step 5: Solve for x
    x = 7,597,071.35/3,704.86
  6. Step 6: Final answer
    x = 2,050.57

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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.