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Finding the Fourth Proportional to 4,346.19, 6,512.13 and 4,184.46

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Solution

The fourth proportional to 4,346.19, 6,512.13 and 4,184.46 is: 6,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.19 : 6,512.13 = 4,184.46 : x
  2. Step 2: Convert to fraction form
    4,346.19/6,512.13 = 4,184.46/x
  3. Step 3: Cross multiply
    4,346.19x = 6,512.13 × 4,184.46
  4. Step 4: Simplify right side
    4,346.19x = 27,249,747.50
  5. Step 5: Solve for x
    x = 27,249,747.50/4,346.19
  6. Step 6: Final answer
    x = 6,269.80

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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.