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Finding the Fourth Proportional to 4,558.95, 6,838.97 and 1,636.47

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Solution

The fourth proportional to 4,558.95, 6,838.97 and 1,636.47 is: 2,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.95 : 6,838.97 = 1,636.47 : x
  2. Step 2: Convert to fraction form
    4,558.95/6,838.97 = 1,636.47/x
  3. Step 3: Cross multiply
    4,558.95x = 6,838.97 × 1,636.47
  4. Step 4: Simplify right side
    4,558.95x = 11,191,761.05
  5. Step 5: Solve for x
    x = 11,191,761.05/4,558.95
  6. Step 6: Final answer
    x = 2,454.90

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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.