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Finding the Fourth Proportional to 5,313.24, 7,969.92 and 1,615.50

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Solution

The fourth proportional to 5,313.24, 7,969.92 and 1,615.50 is: 2,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.24 : 7,969.92 = 1,615.50 : x
  2. Step 2: Convert to fraction form
    5,313.24/7,969.92 = 1,615.50/x
  3. Step 3: Cross multiply
    5,313.24x = 7,969.92 × 1,615.50
  4. Step 4: Simplify right side
    5,313.24x = 12,875,405.76
  5. Step 5: Solve for x
    x = 12,875,405.76/5,313.24
  6. Step 6: Final answer
    x = 2,423.27

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Why These Related Problems?

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