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Finding the Fourth Proportional to 4,258.92, 6,384.54 and 1,522.28

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Solution

The fourth proportional to 4,258.92, 6,384.54 and 1,522.28 is: 2,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.92 : 6,384.54 = 1,522.28 : x
  2. Step 2: Convert to fraction form
    4,258.92/6,384.54 = 1,522.28/x
  3. Step 3: Cross multiply
    4,258.92x = 6,384.54 × 1,522.28
  4. Step 4: Simplify right side
    4,258.92x = 9,719,057.55
  5. Step 5: Solve for x
    x = 9,719,057.55/4,258.92
  6. Step 6: Final answer
    x = 2,282.05

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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.