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Finding the Fourth Proportional to 5,984.24, 8,933.60 and 5,588.96

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Solution

The fourth proportional to 5,984.24, 8,933.60 and 5,588.96 is: 8,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.24 : 8,933.60 = 5,588.96 : x
  2. Step 2: Convert to fraction form
    5,984.24/8,933.60 = 5,588.96/x
  3. Step 3: Cross multiply
    5,984.24x = 8,933.60 × 5,588.96
  4. Step 4: Simplify right side
    5,984.24x = 49,929,533.06
  5. Step 5: Solve for x
    x = 49,929,533.06/5,984.24
  6. Step 6: Final answer
    x = 8,343.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.