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Finding the Fourth Proportional to 4,900.74, 7,351.23 and 1,438.10

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Solution

The fourth proportional to 4,900.74, 7,351.23 and 1,438.10 is: 2,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.74 : 7,351.23 = 1,438.10 : x
  2. Step 2: Convert to fraction form
    4,900.74/7,351.23 = 1,438.10/x
  3. Step 3: Cross multiply
    4,900.74x = 7,351.23 × 1,438.10
  4. Step 4: Simplify right side
    4,900.74x = 10,571,803.86
  5. Step 5: Solve for x
    x = 10,571,803.86/4,900.74
  6. Step 6: Final answer
    x = 2,157.19

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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.