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Finding the Fourth Proportional to 3,415.70, 4,791.70 and 3,415.70

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Solution

The fourth proportional to 3,415.70, 4,791.70 and 3,415.70 is: 4,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.70 : 4,791.70 = 3,415.70 : x
  2. Step 2: Convert to fraction form
    3,415.70/4,791.70 = 3,415.70/x
  3. Step 3: Cross multiply
    3,415.70x = 4,791.70 × 3,415.70
  4. Step 4: Simplify right side
    3,415.70x = 16,367,009.69
  5. Step 5: Solve for x
    x = 16,367,009.69/3,415.70
  6. Step 6: Final answer
    x = 4,791.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.