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Finding the Fourth Proportional to 4,063.50, 6,095.12 and 2,214.14

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Solution

The fourth proportional to 4,063.50, 6,095.12 and 2,214.14 is: 3,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.50 : 6,095.12 = 2,214.14 : x
  2. Step 2: Convert to fraction form
    4,063.50/6,095.12 = 2,214.14/x
  3. Step 3: Cross multiply
    4,063.50x = 6,095.12 × 2,214.14
  4. Step 4: Simplify right side
    4,063.50x = 13,495,407.45
  5. Step 5: Solve for x
    x = 13,495,407.45/4,063.50
  6. Step 6: Final answer
    x = 3,321.13

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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.