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Finding the Fourth Proportional to 4,558.65, 6,837.96 and 1,636.95

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Solution

The fourth proportional to 4,558.65, 6,837.96 and 1,636.95 is: 2,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.65 : 6,837.96 = 1,636.95 : x
  2. Step 2: Convert to fraction form
    4,558.65/6,837.96 = 1,636.95/x
  3. Step 3: Cross multiply
    4,558.65x = 6,837.96 × 1,636.95
  4. Step 4: Simplify right side
    4,558.65x = 11,193,430.40
  5. Step 5: Solve for x
    x = 11,193,430.40/4,558.65
  6. Step 6: Final answer
    x = 2,455.43

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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.