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Finding the Fourth Proportional to 5,313.79, 7,970.41 and 1,615.94

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Solution

The fourth proportional to 5,313.79, 7,970.41 and 1,615.94 is: 2,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.79 : 7,970.41 = 1,615.94 : x
  2. Step 2: Convert to fraction form
    5,313.79/7,970.41 = 1,615.94/x
  3. Step 3: Cross multiply
    5,313.79x = 7,970.41 × 1,615.94
  4. Step 4: Simplify right side
    5,313.79x = 12,879,704.34
  5. Step 5: Solve for x
    x = 12,879,704.34/5,313.79
  6. Step 6: Final answer
    x = 2,423.83

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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.