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Finding the Fourth Proportional to 5,072.36, 7,607.84 and 1,374.84

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Solution

The fourth proportional to 5,072.36, 7,607.84 and 1,374.84 is: 2,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.36 : 7,607.84 = 1,374.84 : x
  2. Step 2: Convert to fraction form
    5,072.36/7,607.84 = 1,374.84/x
  3. Step 3: Cross multiply
    5,072.36x = 7,607.84 × 1,374.84
  4. Step 4: Simplify right side
    5,072.36x = 10,459,562.75
  5. Step 5: Solve for x
    x = 10,459,562.75/5,072.36
  6. Step 6: Final answer
    x = 2,062.07

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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.