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Finding the Fourth Proportional to 4,948.17, 7,423.34 and 1,438.22

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Solution

The fourth proportional to 4,948.17, 7,423.34 and 1,438.22 is: 2,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.17 : 7,423.34 = 1,438.22 : x
  2. Step 2: Convert to fraction form
    4,948.17/7,423.34 = 1,438.22/x
  3. Step 3: Cross multiply
    4,948.17x = 7,423.34 × 1,438.22
  4. Step 4: Simplify right side
    4,948.17x = 10,676,351.75
  5. Step 5: Solve for x
    x = 10,676,351.75/4,948.17
  6. Step 6: Final answer
    x = 2,157.64

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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.