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Finding the Fourth Proportional to 5,242.98, 7,238.32 and 3,477

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Solution

The fourth proportional to 5,242.98, 7,238.32 and 3,477 is: 4,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.98 : 7,238.32 = 3,477 : x
  2. Step 2: Convert to fraction form
    5,242.98/7,238.32 = 3,477/x
  3. Step 3: Cross multiply
    5,242.98x = 7,238.32 × 3,477
  4. Step 4: Simplify right side
    5,242.98x = 25,167,638.64
  5. Step 5: Solve for x
    x = 25,167,638.64/5,242.98
  6. Step 6: Final answer
    x = 4,800.25

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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.