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Finding the Fourth Proportional to 5,533.60, 8,300.48 and 1,786.08

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Solution

The fourth proportional to 5,533.60, 8,300.48 and 1,786.08 is: 2,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.60 : 8,300.48 = 1,786.08 : x
  2. Step 2: Convert to fraction form
    5,533.60/8,300.48 = 1,786.08/x
  3. Step 3: Cross multiply
    5,533.60x = 8,300.48 × 1,786.08
  4. Step 4: Simplify right side
    5,533.60x = 14,825,321.32
  5. Step 5: Solve for x
    x = 14,825,321.32/5,533.60
  6. Step 6: Final answer
    x = 2,679.15

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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.