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Finding the Fourth Proportional to 5,646.63, 7,792.33 and 3,128.74

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Solution

The fourth proportional to 5,646.63, 7,792.33 and 3,128.74 is: 4,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.63 : 7,792.33 = 3,128.74 : x
  2. Step 2: Convert to fraction form
    5,646.63/7,792.33 = 3,128.74/x
  3. Step 3: Cross multiply
    5,646.63x = 7,792.33 × 3,128.74
  4. Step 4: Simplify right side
    5,646.63x = 24,380,174.56
  5. Step 5: Solve for x
    x = 24,380,174.56/5,646.63
  6. Step 6: Final answer
    x = 4,317.65

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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.