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Finding the Fourth Proportional to 4,333.18, 6,498.14 and 3,419.50

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Solution

The fourth proportional to 4,333.18, 6,498.14 and 3,419.50 is: 5,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.18 : 6,498.14 = 3,419.50 : x
  2. Step 2: Convert to fraction form
    4,333.18/6,498.14 = 3,419.50/x
  3. Step 3: Cross multiply
    4,333.18x = 6,498.14 × 3,419.50
  4. Step 4: Simplify right side
    4,333.18x = 22,220,389.73
  5. Step 5: Solve for x
    x = 22,220,389.73/4,333.18
  6. Step 6: Final answer
    x = 5,127.96

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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.