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Finding the Fourth Proportional to 4,792.40, 7,189.68 and 3,543.92

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Solution

The fourth proportional to 4,792.40, 7,189.68 and 3,543.92 is: 5,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.40 : 7,189.68 = 3,543.92 : x
  2. Step 2: Convert to fraction form
    4,792.40/7,189.68 = 3,543.92/x
  3. Step 3: Cross multiply
    4,792.40x = 7,189.68 × 3,543.92
  4. Step 4: Simplify right side
    4,792.40x = 25,479,650.75
  5. Step 5: Solve for x
    x = 25,479,650.75/4,792.40
  6. Step 6: Final answer
    x = 5,316.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.