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Finding the Fourth Proportional to 4,303.87, 6,458.24 and 1,838.46

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Solution

The fourth proportional to 4,303.87, 6,458.24 and 1,838.46 is: 2,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.87 : 6,458.24 = 1,838.46 : x
  2. Step 2: Convert to fraction form
    4,303.87/6,458.24 = 1,838.46/x
  3. Step 3: Cross multiply
    4,303.87x = 6,458.24 × 1,838.46
  4. Step 4: Simplify right side
    4,303.87x = 11,873,215.91
  5. Step 5: Solve for x
    x = 11,873,215.91/4,303.87
  6. Step 6: Final answer
    x = 2,758.73

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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.