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Finding the Fourth Proportional to 5,416.14, 8,124.21 and 1,520.67

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Solution

The fourth proportional to 5,416.14, 8,124.21 and 1,520.67 is: 2,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.14 : 8,124.21 = 1,520.67 : x
  2. Step 2: Convert to fraction form
    5,416.14/8,124.21 = 1,520.67/x
  3. Step 3: Cross multiply
    5,416.14x = 8,124.21 × 1,520.67
  4. Step 4: Simplify right side
    5,416.14x = 12,354,242.42
  5. Step 5: Solve for x
    x = 12,354,242.42/5,416.14
  6. Step 6: Final answer
    x = 2,281.01

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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.