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Finding the Fourth Proportional to 5,898.23, 8,838.45 and 5,342.57

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Solution

The fourth proportional to 5,898.23, 8,838.45 and 5,342.57 is: 8,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.23 : 8,838.45 = 5,342.57 : x
  2. Step 2: Convert to fraction form
    5,898.23/8,838.45 = 5,342.57/x
  3. Step 3: Cross multiply
    5,898.23x = 8,838.45 × 5,342.57
  4. Step 4: Simplify right side
    5,898.23x = 47,219,993.62
  5. Step 5: Solve for x
    x = 47,219,993.62/5,898.23
  6. Step 6: Final answer
    x = 8,005.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.