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Finding the Fourth Proportional to 4,304.63, 6,458.03 and 1,226.63

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Solution

The fourth proportional to 4,304.63, 6,458.03 and 1,226.63 is: 1,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.63 : 6,458.03 = 1,226.63 : x
  2. Step 2: Convert to fraction form
    4,304.63/6,458.03 = 1,226.63/x
  3. Step 3: Cross multiply
    4,304.63x = 6,458.03 × 1,226.63
  4. Step 4: Simplify right side
    4,304.63x = 7,921,574.92
  5. Step 5: Solve for x
    x = 7,921,574.92/4,304.63
  6. Step 6: Final answer
    x = 1,840.25

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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.