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Finding the Fourth Proportional to 4,232.99, 5,842.07 and 2,555.34

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Solution

The fourth proportional to 4,232.99, 5,842.07 and 2,555.34 is: 3,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.99 : 5,842.07 = 2,555.34 : x
  2. Step 2: Convert to fraction form
    4,232.99/5,842.07 = 2,555.34/x
  3. Step 3: Cross multiply
    4,232.99x = 5,842.07 × 2,555.34
  4. Step 4: Simplify right side
    4,232.99x = 14,928,462.38
  5. Step 5: Solve for x
    x = 14,928,462.38/4,232.99
  6. Step 6: Final answer
    x = 3,526.70

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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.