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Finding the Fourth Proportional to 5,846.34, 8,769.42 and 1,897.74

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Solution

The fourth proportional to 5,846.34, 8,769.42 and 1,897.74 is: 2,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.34 : 8,769.42 = 1,897.74 : x
  2. Step 2: Convert to fraction form
    5,846.34/8,769.42 = 1,897.74/x
  3. Step 3: Cross multiply
    5,846.34x = 8,769.42 × 1,897.74
  4. Step 4: Simplify right side
    5,846.34x = 16,642,079.11
  5. Step 5: Solve for x
    x = 16,642,079.11/5,846.34
  6. Step 6: Final answer
    x = 2,846.58

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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.