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Finding the Fourth Proportional to 4,548.88, 6,823.32 and 1,628.02

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Solution

The fourth proportional to 4,548.88, 6,823.32 and 1,628.02 is: 2,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.88 : 6,823.32 = 1,628.02 : x
  2. Step 2: Convert to fraction form
    4,548.88/6,823.32 = 1,628.02/x
  3. Step 3: Cross multiply
    4,548.88x = 6,823.32 × 1,628.02
  4. Step 4: Simplify right side
    4,548.88x = 11,108,501.43
  5. Step 5: Solve for x
    x = 11,108,501.43/4,548.88
  6. Step 6: Final answer
    x = 2,442.03

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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.