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Finding the Fourth Proportional to 5,746.52, 7,929.26 and 3,228.50

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Solution

The fourth proportional to 5,746.52, 7,929.26 and 3,228.50 is: 4,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.52 : 7,929.26 = 3,228.50 : x
  2. Step 2: Convert to fraction form
    5,746.52/7,929.26 = 3,228.50/x
  3. Step 3: Cross multiply
    5,746.52x = 7,929.26 × 3,228.50
  4. Step 4: Simplify right side
    5,746.52x = 25,599,615.91
  5. Step 5: Solve for x
    x = 25,599,615.91/5,746.52
  6. Step 6: Final answer
    x = 4,454.80

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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.