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Finding the Fourth Proportional to 5,173.42, 7,760.28 and 1,888.96

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Solution

The fourth proportional to 5,173.42, 7,760.28 and 1,888.96 is: 2,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.42 : 7,760.28 = 1,888.96 : x
  2. Step 2: Convert to fraction form
    5,173.42/7,760.28 = 1,888.96/x
  3. Step 3: Cross multiply
    5,173.42x = 7,760.28 × 1,888.96
  4. Step 4: Simplify right side
    5,173.42x = 14,658,858.51
  5. Step 5: Solve for x
    x = 14,658,858.51/5,173.42
  6. Step 6: Final answer
    x = 2,833.49

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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.