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Finding the Fourth Proportional to 3,409.56, 5,112.54 and 1,187.53

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Solution

The fourth proportional to 3,409.56, 5,112.54 and 1,187.53 is: 1,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.56 : 5,112.54 = 1,187.53 : x
  2. Step 2: Convert to fraction form
    3,409.56/5,112.54 = 1,187.53/x
  3. Step 3: Cross multiply
    3,409.56x = 5,112.54 × 1,187.53
  4. Step 4: Simplify right side
    3,409.56x = 6,071,281.84
  5. Step 5: Solve for x
    x = 6,071,281.84/3,409.56
  6. Step 6: Final answer
    x = 1,780.66

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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.