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Finding the Fourth Proportional to 6,419.60, 8,859.64 and 4,031.28

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Solution

The fourth proportional to 6,419.60, 8,859.64 and 4,031.28 is: 5,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.60 : 8,859.64 = 4,031.28 : x
  2. Step 2: Convert to fraction form
    6,419.60/8,859.64 = 4,031.28/x
  3. Step 3: Cross multiply
    6,419.60x = 8,859.64 × 4,031.28
  4. Step 4: Simplify right side
    6,419.60x = 35,715,689.54
  5. Step 5: Solve for x
    x = 35,715,689.54/6,419.60
  6. Step 6: Final answer
    x = 5,563.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.