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Finding the Fourth Proportional to 5,293.42, 7,940.04 and 1,830.58

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Solution

The fourth proportional to 5,293.42, 7,940.04 and 1,830.58 is: 2,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.42 : 7,940.04 = 1,830.58 : x
  2. Step 2: Convert to fraction form
    5,293.42/7,940.04 = 1,830.58/x
  3. Step 3: Cross multiply
    5,293.42x = 7,940.04 × 1,830.58
  4. Step 4: Simplify right side
    5,293.42x = 14,534,878.42
  5. Step 5: Solve for x
    x = 14,534,878.42/5,293.42
  6. Step 6: Final answer
    x = 2,745.84

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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.