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Finding the Fourth Proportional to 4,087.06, 6,129.90 and 1,164.67

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Solution

The fourth proportional to 4,087.06, 6,129.90 and 1,164.67 is: 1,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.06 : 6,129.90 = 1,164.67 : x
  2. Step 2: Convert to fraction form
    4,087.06/6,129.90 = 1,164.67/x
  3. Step 3: Cross multiply
    4,087.06x = 6,129.90 × 1,164.67
  4. Step 4: Simplify right side
    4,087.06x = 7,139,313.54
  5. Step 5: Solve for x
    x = 7,139,313.54/4,087.06
  6. Step 6: Final answer
    x = 1,746.81

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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.