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Finding the Fourth Proportional to 5,729.48, 7,904.32 and 3,739.32

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Solution

The fourth proportional to 5,729.48, 7,904.32 and 3,739.32 is: 5,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.48 : 7,904.32 = 3,739.32 : x
  2. Step 2: Convert to fraction form
    5,729.48/7,904.32 = 3,739.32/x
  3. Step 3: Cross multiply
    5,729.48x = 7,904.32 × 3,739.32
  4. Step 4: Simplify right side
    5,729.48x = 29,556,781.86
  5. Step 5: Solve for x
    x = 29,556,781.86/5,729.48
  6. Step 6: Final answer
    x = 5,158.72

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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.