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Finding the Fourth Proportional to 4,596.33, 6,895.17 and 2,131.40

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Solution

The fourth proportional to 4,596.33, 6,895.17 and 2,131.40 is: 3,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.33 : 6,895.17 = 2,131.40 : x
  2. Step 2: Convert to fraction form
    4,596.33/6,895.17 = 2,131.40/x
  3. Step 3: Cross multiply
    4,596.33x = 6,895.17 × 2,131.40
  4. Step 4: Simplify right side
    4,596.33x = 14,696,330.86
  5. Step 5: Solve for x
    x = 14,696,330.86/4,596.33
  6. Step 6: Final answer
    x = 3,197.41

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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.