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Finding the Fourth Proportional to 3,897.99, 5,846.85 and 976.32

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Solution

The fourth proportional to 3,897.99, 5,846.85 and 976.32 is: 1,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.99 : 5,846.85 = 976.32 : x
  2. Step 2: Convert to fraction form
    3,897.99/5,846.85 = 976.32/x
  3. Step 3: Cross multiply
    3,897.99x = 5,846.85 × 976.32
  4. Step 4: Simplify right side
    3,897.99x = 5,708,396.59
  5. Step 5: Solve for x
    x = 5,708,396.59/3,897.99
  6. Step 6: Final answer
    x = 1,464.45

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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.