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Finding the Fourth Proportional to 5,646.06, 7,792.85 and 3,757.72

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Solution

The fourth proportional to 5,646.06, 7,792.85 and 3,757.72 is: 5,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.06 : 7,792.85 = 3,757.72 : x
  2. Step 2: Convert to fraction form
    5,646.06/7,792.85 = 3,757.72/x
  3. Step 3: Cross multiply
    5,646.06x = 7,792.85 × 3,757.72
  4. Step 4: Simplify right side
    5,646.06x = 29,283,328.82
  5. Step 5: Solve for x
    x = 29,283,328.82/5,646.06
  6. Step 6: Final answer
    x = 5,186.51

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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.