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Finding the Fourth Proportional to 5,746.53, 7,930.46 and 3,228.59

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Solution

The fourth proportional to 5,746.53, 7,930.46 and 3,228.59 is: 4,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.53 : 7,930.46 = 3,228.59 : x
  2. Step 2: Convert to fraction form
    5,746.53/7,930.46 = 3,228.59/x
  3. Step 3: Cross multiply
    5,746.53x = 7,930.46 × 3,228.59
  4. Step 4: Simplify right side
    5,746.53x = 25,604,187.71
  5. Step 5: Solve for x
    x = 25,604,187.71/5,746.53
  6. Step 6: Final answer
    x = 4,455.59

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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.