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Finding the Fourth Proportional to 4,596.63, 6,893.12 and 2,407.20

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Solution

The fourth proportional to 4,596.63, 6,893.12 and 2,407.20 is: 3,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.63 : 6,893.12 = 2,407.20 : x
  2. Step 2: Convert to fraction form
    4,596.63/6,893.12 = 2,407.20/x
  3. Step 3: Cross multiply
    4,596.63x = 6,893.12 × 2,407.20
  4. Step 4: Simplify right side
    4,596.63x = 16,593,106.43
  5. Step 5: Solve for x
    x = 16,593,106.43/4,596.63
  6. Step 6: Final answer
    x = 3,609.84

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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.