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Finding the Fourth Proportional to 5,471.90, 8,210.55 and 3,133.70

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Solution

The fourth proportional to 5,471.90, 8,210.55 and 3,133.70 is: 4,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.90 : 8,210.55 = 3,133.70 : x
  2. Step 2: Convert to fraction form
    5,471.90/8,210.55 = 3,133.70/x
  3. Step 3: Cross multiply
    5,471.90x = 8,210.55 × 3,133.70
  4. Step 4: Simplify right side
    5,471.90x = 25,729,400.54
  5. Step 5: Solve for x
    x = 25,729,400.54/5,471.90
  6. Step 6: Final answer
    x = 4,702.10

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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.