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Finding the Fourth Proportional to 5,958.60, 8,938.32 and 1,576

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Solution

The fourth proportional to 5,958.60, 8,938.32 and 1,576 is: 2,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.60 : 8,938.32 = 1,576 : x
  2. Step 2: Convert to fraction form
    5,958.60/8,938.32 = 1,576/x
  3. Step 3: Cross multiply
    5,958.60x = 8,938.32 × 1,576
  4. Step 4: Simplify right side
    5,958.60x = 14,086,792.32
  5. Step 5: Solve for x
    x = 14,086,792.32/5,958.60
  6. Step 6: Final answer
    x = 2,364.11

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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.