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Finding the Fourth Proportional to 5,416.33, 8,124.46 and 1,520.74

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Solution

The fourth proportional to 5,416.33, 8,124.46 and 1,520.74 is: 2,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.33 : 8,124.46 = 1,520.74 : x
  2. Step 2: Convert to fraction form
    5,416.33/8,124.46 = 1,520.74/x
  3. Step 3: Cross multiply
    5,416.33x = 8,124.46 × 1,520.74
  4. Step 4: Simplify right side
    5,416.33x = 12,355,191.30
  5. Step 5: Solve for x
    x = 12,355,191.30/5,416.33
  6. Step 6: Final answer
    x = 2,281.10

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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.