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Finding the Fourth Proportional to 4,522.31, 6,783.80 and 1,235.66

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Solution

The fourth proportional to 4,522.31, 6,783.80 and 1,235.66 is: 1,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.31 : 6,783.80 = 1,235.66 : x
  2. Step 2: Convert to fraction form
    4,522.31/6,783.80 = 1,235.66/x
  3. Step 3: Cross multiply
    4,522.31x = 6,783.80 × 1,235.66
  4. Step 4: Simplify right side
    4,522.31x = 8,382,437.16
  5. Step 5: Solve for x
    x = 8,382,437.16/4,522.31
  6. Step 6: Final answer
    x = 1,853.58

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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.