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Finding the Fourth Proportional to 5,662.50, 8,477.93 and 4,271.48

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Solution

The fourth proportional to 5,662.50, 8,477.93 and 4,271.48 is: 6,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.50 : 8,477.93 = 4,271.48 : x
  2. Step 2: Convert to fraction form
    5,662.50/8,477.93 = 4,271.48/x
  3. Step 3: Cross multiply
    5,662.50x = 8,477.93 × 4,271.48
  4. Step 4: Simplify right side
    5,662.50x = 36,213,308.44
  5. Step 5: Solve for x
    x = 36,213,308.44/5,662.50
  6. Step 6: Final answer
    x = 6,395.29

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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.