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Finding the Fourth Proportional to 4,938.44, 7,415.04 and 3,101.16

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Solution

The fourth proportional to 4,938.44, 7,415.04 and 3,101.16 is: 4,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.44 : 7,415.04 = 3,101.16 : x
  2. Step 2: Convert to fraction form
    4,938.44/7,415.04 = 3,101.16/x
  3. Step 3: Cross multiply
    4,938.44x = 7,415.04 × 3,101.16
  4. Step 4: Simplify right side
    4,938.44x = 22,995,225.45
  5. Step 5: Solve for x
    x = 22,995,225.45/4,938.44
  6. Step 6: Final answer
    x = 4,656.37

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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.