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Finding the Fourth Proportional to 4,464.87, 6,698.93 and 1,543.47

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Solution

The fourth proportional to 4,464.87, 6,698.93 and 1,543.47 is: 2,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.87 : 6,698.93 = 1,543.47 : x
  2. Step 2: Convert to fraction form
    4,464.87/6,698.93 = 1,543.47/x
  3. Step 3: Cross multiply
    4,464.87x = 6,698.93 × 1,543.47
  4. Step 4: Simplify right side
    4,464.87x = 10,339,589.77
  5. Step 5: Solve for x
    x = 10,339,589.77/4,464.87
  6. Step 6: Final answer
    x = 2,315.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.