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Finding the Fourth Proportional to 5,313.66, 7,968.80 and 1,754.99

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Solution

The fourth proportional to 5,313.66, 7,968.80 and 1,754.99 is: 2,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.66 : 7,968.80 = 1,754.99 : x
  2. Step 2: Convert to fraction form
    5,313.66/7,968.80 = 1,754.99/x
  3. Step 3: Cross multiply
    5,313.66x = 7,968.80 × 1,754.99
  4. Step 4: Simplify right side
    5,313.66x = 13,985,164.31
  5. Step 5: Solve for x
    x = 13,985,164.31/5,313.66
  6. Step 6: Final answer
    x = 2,631.93

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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.