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Finding the Fourth Proportional to 5,527.82, 8,294.16 and 1,830.58

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Solution

The fourth proportional to 5,527.82, 8,294.16 and 1,830.58 is: 2,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.82 : 8,294.16 = 1,830.58 : x
  2. Step 2: Convert to fraction form
    5,527.82/8,294.16 = 1,830.58/x
  3. Step 3: Cross multiply
    5,527.82x = 8,294.16 × 1,830.58
  4. Step 4: Simplify right side
    5,527.82x = 15,183,123.41
  5. Step 5: Solve for x
    x = 15,183,123.41/5,527.82
  6. Step 6: Final answer
    x = 2,746.67

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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.