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Finding the Fourth Proportional to 5,263.63, 7,887.93 and 3,866.01

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Solution

The fourth proportional to 5,263.63, 7,887.93 and 3,866.01 is: 5,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.63 : 7,887.93 = 3,866.01 : x
  2. Step 2: Convert to fraction form
    5,263.63/7,887.93 = 3,866.01/x
  3. Step 3: Cross multiply
    5,263.63x = 7,887.93 × 3,866.01
  4. Step 4: Simplify right side
    5,263.63x = 30,494,816.26
  5. Step 5: Solve for x
    x = 30,494,816.26/5,263.63
  6. Step 6: Final answer
    x = 5,793.50

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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.