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Finding the Fourth Proportional to 5,646.16, 7,792.10 and 3,754.54

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Solution

The fourth proportional to 5,646.16, 7,792.10 and 3,754.54 is: 5,181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.16 : 7,792.10 = 3,754.54 : x
  2. Step 2: Convert to fraction form
    5,646.16/7,792.10 = 3,754.54/x
  3. Step 3: Cross multiply
    5,646.16x = 7,792.10 × 3,754.54
  4. Step 4: Simplify right side
    5,646.16x = 29,255,751.13
  5. Step 5: Solve for x
    x = 29,255,751.13/5,646.16
  6. Step 6: Final answer
    x = 5,181.53

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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.