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Finding the Fourth Proportional to 3,897.49, 5,846.29 and 1,300.43

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Solution

The fourth proportional to 3,897.49, 5,846.29 and 1,300.43 is: 1,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.49 : 5,846.29 = 1,300.43 : x
  2. Step 2: Convert to fraction form
    3,897.49/5,846.29 = 1,300.43/x
  3. Step 3: Cross multiply
    3,897.49x = 5,846.29 × 1,300.43
  4. Step 4: Simplify right side
    3,897.49x = 7,602,687.66
  5. Step 5: Solve for x
    x = 7,602,687.66/3,897.49
  6. Step 6: Final answer
    x = 1,950.66

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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.