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Finding the Fourth Proportional to 4,596.36, 6,893.63 and 1,308.57

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Solution

The fourth proportional to 4,596.36, 6,893.63 and 1,308.57 is: 1,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.36 : 6,893.63 = 1,308.57 : x
  2. Step 2: Convert to fraction form
    4,596.36/6,893.63 = 1,308.57/x
  3. Step 3: Cross multiply
    4,596.36x = 6,893.63 × 1,308.57
  4. Step 4: Simplify right side
    4,596.36x = 9,020,790.87
  5. Step 5: Solve for x
    x = 9,020,790.87/4,596.36
  6. Step 6: Final answer
    x = 1,962.59

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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.