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Finding the Fourth Proportional to 3,505.93, 5,258.93 and 2,044.15

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Solution

The fourth proportional to 3,505.93, 5,258.93 and 2,044.15 is: 3,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.93 : 5,258.93 = 2,044.15 : x
  2. Step 2: Convert to fraction form
    3,505.93/5,258.93 = 2,044.15/x
  3. Step 3: Cross multiply
    3,505.93x = 5,258.93 × 2,044.15
  4. Step 4: Simplify right side
    3,505.93x = 10,750,018.39
  5. Step 5: Solve for x
    x = 10,750,018.39/3,505.93
  6. Step 6: Final answer
    x = 3,066.24

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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.