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Finding the Fourth Proportional to 5,523.80, 8,285.70 and 5,101.40

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Solution

The fourth proportional to 5,523.80, 8,285.70 and 5,101.40 is: 7,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.80 : 8,285.70 = 5,101.40 : x
  2. Step 2: Convert to fraction form
    5,523.80/8,285.70 = 5,101.40/x
  3. Step 3: Cross multiply
    5,523.80x = 8,285.70 × 5,101.40
  4. Step 4: Simplify right side
    5,523.80x = 42,268,669.98
  5. Step 5: Solve for x
    x = 42,268,669.98/5,523.80
  6. Step 6: Final answer
    x = 7,652.10

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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.