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Finding the Fourth Proportional to 5,672.04, 7,825.53 and 3,433.06

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Solution

The fourth proportional to 5,672.04, 7,825.53 and 3,433.06 is: 4,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.04 : 7,825.53 = 3,433.06 : x
  2. Step 2: Convert to fraction form
    5,672.04/7,825.53 = 3,433.06/x
  3. Step 3: Cross multiply
    5,672.04x = 7,825.53 × 3,433.06
  4. Step 4: Simplify right side
    5,672.04x = 26,865,514.02
  5. Step 5: Solve for x
    x = 26,865,514.02/5,672.04
  6. Step 6: Final answer
    x = 4,736.48

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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.