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Finding the Fourth Proportional to 4,563.68, 6,848.16 and 1,792.24

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Solution

The fourth proportional to 4,563.68, 6,848.16 and 1,792.24 is: 2,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.68 : 6,848.16 = 1,792.24 : x
  2. Step 2: Convert to fraction form
    4,563.68/6,848.16 = 1,792.24/x
  3. Step 3: Cross multiply
    4,563.68x = 6,848.16 × 1,792.24
  4. Step 4: Simplify right side
    4,563.68x = 12,273,546.28
  5. Step 5: Solve for x
    x = 12,273,546.28/4,563.68
  6. Step 6: Final answer
    x = 2,689.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.