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Finding the Fourth Proportional to 5,662.10, 8,492.34 and 2,285.21

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Solution

The fourth proportional to 5,662.10, 8,492.34 and 2,285.21 is: 3,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.10 : 8,492.34 = 2,285.21 : x
  2. Step 2: Convert to fraction form
    5,662.10/8,492.34 = 2,285.21/x
  3. Step 3: Cross multiply
    5,662.10x = 8,492.34 × 2,285.21
  4. Step 4: Simplify right side
    5,662.10x = 19,406,810.09
  5. Step 5: Solve for x
    x = 19,406,810.09/5,662.10
  6. Step 6: Final answer
    x = 3,427.49

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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.