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Finding the Fourth Proportional to 3,688.45, 5,503.37 and 3,427.16

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Solution

The fourth proportional to 3,688.45, 5,503.37 and 3,427.16 is: 5,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.45 : 5,503.37 = 3,427.16 : x
  2. Step 2: Convert to fraction form
    3,688.45/5,503.37 = 3,427.16/x
  3. Step 3: Cross multiply
    3,688.45x = 5,503.37 × 3,427.16
  4. Step 4: Simplify right side
    3,688.45x = 18,860,884.88
  5. Step 5: Solve for x
    x = 18,860,884.88/3,688.45
  6. Step 6: Final answer
    x = 5,113.50

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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.