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Finding the Fourth Proportional to 5,304.18, 7,955.46 and 1,408.56

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Solution

The fourth proportional to 5,304.18, 7,955.46 and 1,408.56 is: 2,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.18 : 7,955.46 = 1,408.56 : x
  2. Step 2: Convert to fraction form
    5,304.18/7,955.46 = 1,408.56/x
  3. Step 3: Cross multiply
    5,304.18x = 7,955.46 × 1,408.56
  4. Step 4: Simplify right side
    5,304.18x = 11,205,742.74
  5. Step 5: Solve for x
    x = 11,205,742.74/5,304.18
  6. Step 6: Final answer
    x = 2,112.62

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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.