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Finding the Fourth Proportional to 6,023.46, 9,031.80 and 1,862.28

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Solution

The fourth proportional to 6,023.46, 9,031.80 and 1,862.28 is: 2,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.46 : 9,031.80 = 1,862.28 : x
  2. Step 2: Convert to fraction form
    6,023.46/9,031.80 = 1,862.28/x
  3. Step 3: Cross multiply
    6,023.46x = 9,031.80 × 1,862.28
  4. Step 4: Simplify right side
    6,023.46x = 16,819,740.50
  5. Step 5: Solve for x
    x = 16,819,740.50/6,023.46
  6. Step 6: Final answer
    x = 2,792.37

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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.