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Finding the Fourth Proportional to 4,135.70, 5,801.50 and 4,135.70

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Solution

The fourth proportional to 4,135.70, 5,801.50 and 4,135.70 is: 5,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.70 : 5,801.50 = 4,135.70 : x
  2. Step 2: Convert to fraction form
    4,135.70/5,801.50 = 4,135.70/x
  3. Step 3: Cross multiply
    4,135.70x = 5,801.50 × 4,135.70
  4. Step 4: Simplify right side
    4,135.70x = 23,993,263.55
  5. Step 5: Solve for x
    x = 23,993,263.55/4,135.70
  6. Step 6: Final answer
    x = 5,801.50

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1.5x scale

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.