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Finding the Fourth Proportional to 5,746.36, 7,929.66 and 3,262.36

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Solution

The fourth proportional to 5,746.36, 7,929.66 and 3,262.36 is: 4,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.36 : 7,929.66 = 3,262.36 : x
  2. Step 2: Convert to fraction form
    5,746.36/7,929.66 = 3,262.36/x
  3. Step 3: Cross multiply
    5,746.36x = 7,929.66 × 3,262.36
  4. Step 4: Simplify right side
    5,746.36x = 25,869,405.60
  5. Step 5: Solve for x
    x = 25,869,405.60/5,746.36
  6. Step 6: Final answer
    x = 4,501.88

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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.