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Finding the Fourth Proportional to 4,314.24, 5,934.60 and 3,807.54

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Solution

The fourth proportional to 4,314.24, 5,934.60 and 3,807.54 is: 5,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.24 : 5,934.60 = 3,807.54 : x
  2. Step 2: Convert to fraction form
    4,314.24/5,934.60 = 3,807.54/x
  3. Step 3: Cross multiply
    4,314.24x = 5,934.60 × 3,807.54
  4. Step 4: Simplify right side
    4,314.24x = 22,596,226.88
  5. Step 5: Solve for x
    x = 22,596,226.88/4,314.24
  6. Step 6: Final answer
    x = 5,237.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.