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Finding the Fourth Proportional to 4,367.34, 6,583.86 and 4,085.46

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Solution

The fourth proportional to 4,367.34, 6,583.86 and 4,085.46 is: 6,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.34 : 6,583.86 = 4,085.46 : x
  2. Step 2: Convert to fraction form
    4,367.34/6,583.86 = 4,085.46/x
  3. Step 3: Cross multiply
    4,367.34x = 6,583.86 × 4,085.46
  4. Step 4: Simplify right side
    4,367.34x = 26,898,096.68
  5. Step 5: Solve for x
    x = 26,898,096.68/4,367.34
  6. Step 6: Final answer
    x = 6,158.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.