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Finding the Fourth Proportional to 3,435.98, 5,152.34 and 1,586.54

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Solution

The fourth proportional to 3,435.98, 5,152.34 and 1,586.54 is: 2,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.98 : 5,152.34 = 1,586.54 : x
  2. Step 2: Convert to fraction form
    3,435.98/5,152.34 = 1,586.54/x
  3. Step 3: Cross multiply
    3,435.98x = 5,152.34 × 1,586.54
  4. Step 4: Simplify right side
    3,435.98x = 8,174,393.50
  5. Step 5: Solve for x
    x = 8,174,393.50/3,435.98
  6. Step 6: Final answer
    x = 2,379.06

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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.