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Finding the Fourth Proportional to 4,598.28, 6,898.86 and 1,522.44

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Solution

The fourth proportional to 4,598.28, 6,898.86 and 1,522.44 is: 2,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.28 : 6,898.86 = 1,522.44 : x
  2. Step 2: Convert to fraction form
    4,598.28/6,898.86 = 1,522.44/x
  3. Step 3: Cross multiply
    4,598.28x = 6,898.86 × 1,522.44
  4. Step 4: Simplify right side
    4,598.28x = 10,503,100.42
  5. Step 5: Solve for x
    x = 10,503,100.42/4,598.28
  6. Step 6: Final answer
    x = 2,284.14

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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.