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Finding the Fourth Proportional to 2,946.16, 4,409.52 and 2,622.16

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Solution

The fourth proportional to 2,946.16, 4,409.52 and 2,622.16 is: 3,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.16 : 4,409.52 = 2,622.16 : x
  2. Step 2: Convert to fraction form
    2,946.16/4,409.52 = 2,622.16/x
  3. Step 3: Cross multiply
    2,946.16x = 4,409.52 × 2,622.16
  4. Step 4: Simplify right side
    2,946.16x = 11,562,466.96
  5. Step 5: Solve for x
    x = 11,562,466.96/2,946.16
  6. Step 6: Final answer
    x = 3,924.59

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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.