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Finding the Fourth Proportional to 5,378.25, 7,411.04 and 4,119.31

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Solution

The fourth proportional to 5,378.25, 7,411.04 and 4,119.31 is: 5,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.25 : 7,411.04 = 4,119.31 : x
  2. Step 2: Convert to fraction form
    5,378.25/7,411.04 = 4,119.31/x
  3. Step 3: Cross multiply
    5,378.25x = 7,411.04 × 4,119.31
  4. Step 4: Simplify right side
    5,378.25x = 30,528,334.13
  5. Step 5: Solve for x
    x = 30,528,334.13/5,378.25
  6. Step 6: Final answer
    x = 5,676.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.