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Finding the Fourth Proportional to 5,415.41, 8,123.40 and 1,520.12

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Solution

The fourth proportional to 5,415.41, 8,123.40 and 1,520.12 is: 2,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.41 : 8,123.40 = 1,520.12 : x
  2. Step 2: Convert to fraction form
    5,415.41/8,123.40 = 1,520.12/x
  3. Step 3: Cross multiply
    5,415.41x = 8,123.40 × 1,520.12
  4. Step 4: Simplify right side
    5,415.41x = 12,348,513.15
  5. Step 5: Solve for x
    x = 12,348,513.15/5,415.41
  6. Step 6: Final answer
    x = 2,280.26

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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.