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Finding the Fourth Proportional to 5,728.82, 7,846.52 and 5,392.58

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Solution

The fourth proportional to 5,728.82, 7,846.52 and 5,392.58 is: 7,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.82 : 7,846.52 = 5,392.58 : x
  2. Step 2: Convert to fraction form
    5,728.82/7,846.52 = 5,392.58/x
  3. Step 3: Cross multiply
    5,728.82x = 7,846.52 × 5,392.58
  4. Step 4: Simplify right side
    5,728.82x = 42,312,920.63
  5. Step 5: Solve for x
    x = 42,312,920.63/5,728.82
  6. Step 6: Final answer
    x = 7,385.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.