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Finding the Fourth Proportional to 3,044.60, 4,114.05 and 3,044.60

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Solution

The fourth proportional to 3,044.60, 4,114.05 and 3,044.60 is: 4,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.60 : 4,114.05 = 3,044.60 : x
  2. Step 2: Convert to fraction form
    3,044.60/4,114.05 = 3,044.60/x
  3. Step 3: Cross multiply
    3,044.60x = 4,114.05 × 3,044.60
  4. Step 4: Simplify right side
    3,044.60x = 12,525,636.63
  5. Step 5: Solve for x
    x = 12,525,636.63/3,044.60
  6. Step 6: Final answer
    x = 4,114.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.