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Finding the Fourth Proportional to 4,638.66, 6,958.53 and 1,518.90

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Solution

The fourth proportional to 4,638.66, 6,958.53 and 1,518.90 is: 2,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.66 : 6,958.53 = 1,518.90 : x
  2. Step 2: Convert to fraction form
    4,638.66/6,958.53 = 1,518.90/x
  3. Step 3: Cross multiply
    4,638.66x = 6,958.53 × 1,518.90
  4. Step 4: Simplify right side
    4,638.66x = 10,569,311.22
  5. Step 5: Solve for x
    x = 10,569,311.22/4,638.66
  6. Step 6: Final answer
    x = 2,278.53

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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.