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Finding the Fourth Proportional to 3,897.76, 5,846.90 and 1,589.26

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Solution

The fourth proportional to 3,897.76, 5,846.90 and 1,589.26 is: 2,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.76 : 5,846.90 = 1,589.26 : x
  2. Step 2: Convert to fraction form
    3,897.76/5,846.90 = 1,589.26/x
  3. Step 3: Cross multiply
    3,897.76x = 5,846.90 × 1,589.26
  4. Step 4: Simplify right side
    3,897.76x = 9,292,244.29
  5. Step 5: Solve for x
    x = 9,292,244.29/3,897.76
  6. Step 6: Final answer
    x = 2,384.00

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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.