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Finding the Fourth Proportional to 4,363.50, 6,549.02 and 2,284.95

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Solution

The fourth proportional to 4,363.50, 6,549.02 and 2,284.95 is: 3,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.50 : 6,549.02 = 2,284.95 : x
  2. Step 2: Convert to fraction form
    4,363.50/6,549.02 = 2,284.95/x
  3. Step 3: Cross multiply
    4,363.50x = 6,549.02 × 2,284.95
  4. Step 4: Simplify right side
    4,363.50x = 14,964,188.20
  5. Step 5: Solve for x
    x = 14,964,188.20/4,363.50
  6. Step 6: Final answer
    x = 3,429.40

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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.