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Finding the Fourth Proportional to 3,818.61, 5,721.44 and 3,041.01

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Solution

The fourth proportional to 3,818.61, 5,721.44 and 3,041.01 is: 4,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.61 : 5,721.44 = 3,041.01 : x
  2. Step 2: Convert to fraction form
    3,818.61/5,721.44 = 3,041.01/x
  3. Step 3: Cross multiply
    3,818.61x = 5,721.44 × 3,041.01
  4. Step 4: Simplify right side
    3,818.61x = 17,398,941.05
  5. Step 5: Solve for x
    x = 17,398,941.05/3,818.61
  6. Step 6: Final answer
    x = 4,556.35

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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.