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Finding the Fourth Proportional to 4,999.56, 6,902.34 and 3,429.96

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Solution

The fourth proportional to 4,999.56, 6,902.34 and 3,429.96 is: 4,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.56 : 6,902.34 = 3,429.96 : x
  2. Step 2: Convert to fraction form
    4,999.56/6,902.34 = 3,429.96/x
  3. Step 3: Cross multiply
    4,999.56x = 6,902.34 × 3,429.96
  4. Step 4: Simplify right side
    4,999.56x = 23,674,750.11
  5. Step 5: Solve for x
    x = 23,674,750.11/4,999.56
  6. Step 6: Final answer
    x = 4,735.37

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1.5x scale

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.