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Finding the Fourth Proportional to 4,973.10, 7,408.10 and 4,857.90

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Solution

The fourth proportional to 4,973.10, 7,408.10 and 4,857.90 is: 7,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.10 : 7,408.10 = 4,857.90 : x
  2. Step 2: Convert to fraction form
    4,973.10/7,408.10 = 4,857.90/x
  3. Step 3: Cross multiply
    4,973.10x = 7,408.10 × 4,857.90
  4. Step 4: Simplify right side
    4,973.10x = 35,987,784.70
  5. Step 5: Solve for x
    x = 35,987,784.70/4,973.10
  6. Step 6: Final answer
    x = 7,236.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.