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Finding the Fourth Proportional to 5,309.13, 7,329.05 and 4,194.67

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Solution

The fourth proportional to 5,309.13, 7,329.05 and 4,194.67 is: 5,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.13 : 7,329.05 = 4,194.67 : x
  2. Step 2: Convert to fraction form
    5,309.13/7,329.05 = 4,194.67/x
  3. Step 3: Cross multiply
    5,309.13x = 7,329.05 × 4,194.67
  4. Step 4: Simplify right side
    5,309.13x = 30,742,946.16
  5. Step 5: Solve for x
    x = 30,742,946.16/5,309.13
  6. Step 6: Final answer
    x = 5,790.58

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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.