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Finding the Fourth Proportional to 5,313.77, 7,970.63 and 2,532

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Solution

The fourth proportional to 5,313.77, 7,970.63 and 2,532 is: 3,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.77 : 7,970.63 = 2,532 : x
  2. Step 2: Convert to fraction form
    5,313.77/7,970.63 = 2,532/x
  3. Step 3: Cross multiply
    5,313.77x = 7,970.63 × 2,532
  4. Step 4: Simplify right side
    5,313.77x = 20,181,622.50
  5. Step 5: Solve for x
    x = 20,181,622.50/5,313.77
  6. Step 6: Final answer
    x = 3,797.99

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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.