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Finding the Fourth Proportional to 5,293.60, 7,938.72 and 1,830

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Solution

The fourth proportional to 5,293.60, 7,938.72 and 1,830 is: 2,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.60 : 7,938.72 = 1,830 : x
  2. Step 2: Convert to fraction form
    5,293.60/7,938.72 = 1,830/x
  3. Step 3: Cross multiply
    5,293.60x = 7,938.72 × 1,830
  4. Step 4: Simplify right side
    5,293.60x = 14,527,857.60
  5. Step 5: Solve for x
    x = 14,527,857.60/5,293.60
  6. Step 6: Final answer
    x = 2,744.42

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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.