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Finding the Fourth Proportional to 4,563.78, 6,848.70 and 1,642.08

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Solution

The fourth proportional to 4,563.78, 6,848.70 and 1,642.08 is: 2,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.78 : 6,848.70 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    4,563.78/6,848.70 = 1,642.08/x
  3. Step 3: Cross multiply
    4,563.78x = 6,848.70 × 1,642.08
  4. Step 4: Simplify right side
    4,563.78x = 11,246,113.30
  5. Step 5: Solve for x
    x = 11,246,113.30/4,563.78
  6. Step 6: Final answer
    x = 2,464.21

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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.