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Finding the Fourth Proportional to 5,420.44, 8,130.68 and 1,316.44

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Solution

The fourth proportional to 5,420.44, 8,130.68 and 1,316.44 is: 1,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.44 : 8,130.68 = 1,316.44 : x
  2. Step 2: Convert to fraction form
    5,420.44/8,130.68 = 1,316.44/x
  3. Step 3: Cross multiply
    5,420.44x = 8,130.68 × 1,316.44
  4. Step 4: Simplify right side
    5,420.44x = 10,703,552.38
  5. Step 5: Solve for x
    x = 10,703,552.38/5,420.44
  6. Step 6: Final answer
    x = 1,974.66

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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.