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Finding the Fourth Proportional to 4,720.05, 7,107.51 and 3,496.14

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Solution

The fourth proportional to 4,720.05, 7,107.51 and 3,496.14 is: 5,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.05 : 7,107.51 = 3,496.14 : x
  2. Step 2: Convert to fraction form
    4,720.05/7,107.51 = 3,496.14/x
  3. Step 3: Cross multiply
    4,720.05x = 7,107.51 × 3,496.14
  4. Step 4: Simplify right side
    4,720.05x = 24,848,823.21
  5. Step 5: Solve for x
    x = 24,848,823.21/4,720.05
  6. Step 6: Final answer
    x = 5,264.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.