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Finding the Fourth Proportional to 3,897.60, 5,846.44 and 1,300.54

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Solution

The fourth proportional to 3,897.60, 5,846.44 and 1,300.54 is: 1,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.60 : 5,846.44 = 1,300.54 : x
  2. Step 2: Convert to fraction form
    3,897.60/5,846.44 = 1,300.54/x
  3. Step 3: Cross multiply
    3,897.60x = 5,846.44 × 1,300.54
  4. Step 4: Simplify right side
    3,897.60x = 7,603,529.08
  5. Step 5: Solve for x
    x = 7,603,529.08/3,897.60
  6. Step 6: Final answer
    x = 1,950.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.