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Finding the Fourth Proportional to 5,989.89, 8,973.89 and 4,342.35

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Solution

The fourth proportional to 5,989.89, 8,973.89 and 4,342.35 is: 6,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.89 : 8,973.89 = 4,342.35 : x
  2. Step 2: Convert to fraction form
    5,989.89/8,973.89 = 4,342.35/x
  3. Step 3: Cross multiply
    5,989.89x = 8,973.89 × 4,342.35
  4. Step 4: Simplify right side
    5,989.89x = 38,967,749.53
  5. Step 5: Solve for x
    x = 38,967,749.53/5,989.89
  6. Step 6: Final answer
    x = 6,505.59

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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.