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Finding the Fourth Proportional to 3,647.76, 5,034.10 and 2,054.52

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Solution

The fourth proportional to 3,647.76, 5,034.10 and 2,054.52 is: 2,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.76 : 5,034.10 = 2,054.52 : x
  2. Step 2: Convert to fraction form
    3,647.76/5,034.10 = 2,054.52/x
  3. Step 3: Cross multiply
    3,647.76x = 5,034.10 × 2,054.52
  4. Step 4: Simplify right side
    3,647.76x = 10,342,659.13
  5. Step 5: Solve for x
    x = 10,342,659.13/3,647.76
  6. Step 6: Final answer
    x = 2,835.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.