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Finding the Fourth Proportional to 5,672.16, 7,825.41 and 3,432.51

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Solution

The fourth proportional to 5,672.16, 7,825.41 and 3,432.51 is: 4,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.16 : 7,825.41 = 3,432.51 : x
  2. Step 2: Convert to fraction form
    5,672.16/7,825.41 = 3,432.51/x
  3. Step 3: Cross multiply
    5,672.16x = 7,825.41 × 3,432.51
  4. Step 4: Simplify right side
    5,672.16x = 26,860,798.08
  5. Step 5: Solve for x
    x = 26,860,798.08/5,672.16
  6. Step 6: Final answer
    x = 4,735.55

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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.