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Finding the Fourth Proportional to 5,256.46, 7,246.37 and 4,135.46

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Solution

The fourth proportional to 5,256.46, 7,246.37 and 4,135.46 is: 5,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.46 : 7,246.37 = 4,135.46 : x
  2. Step 2: Convert to fraction form
    5,256.46/7,246.37 = 4,135.46/x
  3. Step 3: Cross multiply
    5,256.46x = 7,246.37 × 4,135.46
  4. Step 4: Simplify right side
    5,256.46x = 29,967,016.37
  5. Step 5: Solve for x
    x = 29,967,016.37/5,256.46
  6. Step 6: Final answer
    x = 5,700.99

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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.