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Finding the Fourth Proportional to 5,420.41, 8,130.61 and 1,316.41

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Solution

The fourth proportional to 5,420.41, 8,130.61 and 1,316.41 is: 1,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.41 : 8,130.61 = 1,316.41 : x
  2. Step 2: Convert to fraction form
    5,420.41/8,130.61 = 1,316.41/x
  3. Step 3: Cross multiply
    5,420.41x = 8,130.61 × 1,316.41
  4. Step 4: Simplify right side
    5,420.41x = 10,703,216.31
  5. Step 5: Solve for x
    x = 10,703,216.31/5,420.41
  6. Step 6: Final answer
    x = 1,974.61

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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.