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Finding the Fourth Proportional to 5,470.50, 8,163.06 and 4,881.45

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Solution

The fourth proportional to 5,470.50, 8,163.06 and 4,881.45 is: 7,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.50 : 8,163.06 = 4,881.45 : x
  2. Step 2: Convert to fraction form
    5,470.50/8,163.06 = 4,881.45/x
  3. Step 3: Cross multiply
    5,470.50x = 8,163.06 × 4,881.45
  4. Step 4: Simplify right side
    5,470.50x = 39,847,569.24
  5. Step 5: Solve for x
    x = 39,847,569.24/5,470.50
  6. Step 6: Final answer
    x = 7,284.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.