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Finding the Fourth Proportional to 5,352.60, 8,029.10 and 1,456.99

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Solution

The fourth proportional to 5,352.60, 8,029.10 and 1,456.99 is: 2,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.60 : 8,029.10 = 1,456.99 : x
  2. Step 2: Convert to fraction form
    5,352.60/8,029.10 = 1,456.99/x
  3. Step 3: Cross multiply
    5,352.60x = 8,029.10 × 1,456.99
  4. Step 4: Simplify right side
    5,352.60x = 11,698,318.41
  5. Step 5: Solve for x
    x = 11,698,318.41/5,352.60
  6. Step 6: Final answer
    x = 2,185.54

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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.