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Finding the Fourth Proportional to 4,586.46, 6,879.72 and 1,123.74

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Solution

The fourth proportional to 4,586.46, 6,879.72 and 1,123.74 is: 1,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.46 : 6,879.72 = 1,123.74 : x
  2. Step 2: Convert to fraction form
    4,586.46/6,879.72 = 1,123.74/x
  3. Step 3: Cross multiply
    4,586.46x = 6,879.72 × 1,123.74
  4. Step 4: Simplify right side
    4,586.46x = 7,731,016.55
  5. Step 5: Solve for x
    x = 7,731,016.55/4,586.46
  6. Step 6: Final answer
    x = 1,685.62

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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.