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Finding the Fourth Proportional to 4,652.56, 6,420.42 and 2,662.99

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Solution

The fourth proportional to 4,652.56, 6,420.42 and 2,662.99 is: 3,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.56 : 6,420.42 = 2,662.99 : x
  2. Step 2: Convert to fraction form
    4,652.56/6,420.42 = 2,662.99/x
  3. Step 3: Cross multiply
    4,652.56x = 6,420.42 × 2,662.99
  4. Step 4: Simplify right side
    4,652.56x = 17,097,514.26
  5. Step 5: Solve for x
    x = 17,097,514.26/4,652.56
  6. Step 6: Final answer
    x = 3,674.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.