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Finding the Fourth Proportional to 3,143.63, 4,714.92 and 1,063.58

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Solution

The fourth proportional to 3,143.63, 4,714.92 and 1,063.58 is: 1,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.63 : 4,714.92 = 1,063.58 : x
  2. Step 2: Convert to fraction form
    3,143.63/4,714.92 = 1,063.58/x
  3. Step 3: Cross multiply
    3,143.63x = 4,714.92 × 1,063.58
  4. Step 4: Simplify right side
    3,143.63x = 5,014,706.40
  5. Step 5: Solve for x
    x = 5,014,706.40/3,143.63
  6. Step 6: Final answer
    x = 1,595.20

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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.