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Finding the Fourth Proportional to 5,809.72, 8,698.63 and 4,056.48

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Solution

The fourth proportional to 5,809.72, 8,698.63 and 4,056.48 is: 6,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.72 : 8,698.63 = 4,056.48 : x
  2. Step 2: Convert to fraction form
    5,809.72/8,698.63 = 4,056.48/x
  3. Step 3: Cross multiply
    5,809.72x = 8,698.63 × 4,056.48
  4. Step 4: Simplify right side
    5,809.72x = 35,285,775.13
  5. Step 5: Solve for x
    x = 35,285,775.13/5,809.72
  6. Step 6: Final answer
    x = 6,073.58

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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.