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Finding the Fourth Proportional to 4,088.43, 6,133.22 and 1,623.50

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Solution

The fourth proportional to 4,088.43, 6,133.22 and 1,623.50 is: 2,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.43 : 6,133.22 = 1,623.50 : x
  2. Step 2: Convert to fraction form
    4,088.43/6,133.22 = 1,623.50/x
  3. Step 3: Cross multiply
    4,088.43x = 6,133.22 × 1,623.50
  4. Step 4: Simplify right side
    4,088.43x = 9,957,243.89
  5. Step 5: Solve for x
    x = 9,957,243.89/4,088.43
  6. Step 6: Final answer
    x = 2,435.47

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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.