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Finding the Fourth Proportional to 6,031.99, 9,049.27 and 1,871.90

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Solution

The fourth proportional to 6,031.99, 9,049.27 and 1,871.90 is: 2,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.99 : 9,049.27 = 1,871.90 : x
  2. Step 2: Convert to fraction form
    6,031.99/9,049.27 = 1,871.90/x
  3. Step 3: Cross multiply
    6,031.99x = 9,049.27 × 1,871.90
  4. Step 4: Simplify right side
    6,031.99x = 16,939,328.51
  5. Step 5: Solve for x
    x = 16,939,328.51/6,031.99
  6. Step 6: Final answer
    x = 2,808.25

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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.