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Finding the Fourth Proportional to 5,293.68, 7,940.46 and 1,830.92

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Solution

The fourth proportional to 5,293.68, 7,940.46 and 1,830.92 is: 2,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.68 : 7,940.46 = 1,830.92 : x
  2. Step 2: Convert to fraction form
    5,293.68/7,940.46 = 1,830.92/x
  3. Step 3: Cross multiply
    5,293.68x = 7,940.46 × 1,830.92
  4. Step 4: Simplify right side
    5,293.68x = 14,538,347.02
  5. Step 5: Solve for x
    x = 14,538,347.02/5,293.68
  6. Step 6: Final answer
    x = 2,746.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.