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Finding the Fourth Proportional to 5,427.40, 8,141.10 and 5,208.70

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Solution

The fourth proportional to 5,427.40, 8,141.10 and 5,208.70 is: 7,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.40 : 8,141.10 = 5,208.70 : x
  2. Step 2: Convert to fraction form
    5,427.40/8,141.10 = 5,208.70/x
  3. Step 3: Cross multiply
    5,427.40x = 8,141.10 × 5,208.70
  4. Step 4: Simplify right side
    5,427.40x = 42,404,547.57
  5. Step 5: Solve for x
    x = 42,404,547.57/5,427.40
  6. Step 6: Final answer
    x = 7,813.05

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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.