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Finding the Fourth Proportional to 5,274.48, 7,911.68 and 1,576.60

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Solution

The fourth proportional to 5,274.48, 7,911.68 and 1,576.60 is: 2,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.48 : 7,911.68 = 1,576.60 : x
  2. Step 2: Convert to fraction form
    5,274.48/7,911.68 = 1,576.60/x
  3. Step 3: Cross multiply
    5,274.48x = 7,911.68 × 1,576.60
  4. Step 4: Simplify right side
    5,274.48x = 12,473,554.69
  5. Step 5: Solve for x
    x = 12,473,554.69/5,274.48
  6. Step 6: Final answer
    x = 2,364.89

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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.