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Finding the Fourth Proportional to 3,897.84, 5,846.68 and 976.16

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Solution

The fourth proportional to 3,897.84, 5,846.68 and 976.16 is: 1,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.84 : 5,846.68 = 976.16 : x
  2. Step 2: Convert to fraction form
    3,897.84/5,846.68 = 976.16/x
  3. Step 3: Cross multiply
    3,897.84x = 5,846.68 × 976.16
  4. Step 4: Simplify right side
    3,897.84x = 5,707,295.15
  5. Step 5: Solve for x
    x = 5,707,295.15/3,897.84
  6. Step 6: Final answer
    x = 1,464.22

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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.