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Finding the Fourth Proportional to 5,436.52, 8,154.06 and 1,541.20

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Solution

The fourth proportional to 5,436.52, 8,154.06 and 1,541.20 is: 2,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.52 : 8,154.06 = 1,541.20 : x
  2. Step 2: Convert to fraction form
    5,436.52/8,154.06 = 1,541.20/x
  3. Step 3: Cross multiply
    5,436.52x = 8,154.06 × 1,541.20
  4. Step 4: Simplify right side
    5,436.52x = 12,567,037.27
  5. Step 5: Solve for x
    x = 12,567,037.27/5,436.52
  6. Step 6: Final answer
    x = 2,311.60

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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.