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Finding the Fourth Proportional to 7,228.42, 9,973.56 and 4,040.80

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Solution

The fourth proportional to 7,228.42, 9,973.56 and 4,040.80 is: 5,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.42 : 9,973.56 = 4,040.80 : x
  2. Step 2: Convert to fraction form
    7,228.42/9,973.56 = 4,040.80/x
  3. Step 3: Cross multiply
    7,228.42x = 9,973.56 × 4,040.80
  4. Step 4: Simplify right side
    7,228.42x = 40,301,161.25
  5. Step 5: Solve for x
    x = 40,301,161.25/7,228.42
  6. Step 6: Final answer
    x = 5,575.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.