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Finding the Fourth Proportional to 5,237.58, 7,853.07 and 2,463.06

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Solution

The fourth proportional to 5,237.58, 7,853.07 and 2,463.06 is: 3,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.58 : 7,853.07 = 2,463.06 : x
  2. Step 2: Convert to fraction form
    5,237.58/7,853.07 = 2,463.06/x
  3. Step 3: Cross multiply
    5,237.58x = 7,853.07 × 2,463.06
  4. Step 4: Simplify right side
    5,237.58x = 19,342,582.59
  5. Step 5: Solve for x
    x = 19,342,582.59/5,237.58
  6. Step 6: Final answer
    x = 3,693.04

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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.