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Finding the Fourth Proportional to 5,746.40, 7,930.47 and 3,228.67

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Solution

The fourth proportional to 5,746.40, 7,930.47 and 3,228.67 is: 4,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.40 : 7,930.47 = 3,228.67 : x
  2. Step 2: Convert to fraction form
    5,746.40/7,930.47 = 3,228.67/x
  3. Step 3: Cross multiply
    5,746.40x = 7,930.47 × 3,228.67
  4. Step 4: Simplify right side
    5,746.40x = 25,604,870.57
  5. Step 5: Solve for x
    x = 25,604,870.57/5,746.40
  6. Step 6: Final answer
    x = 4,455.81

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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.