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Finding the Fourth Proportional to 3,615.83, 5,423.92 and 1,018.97

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Solution

The fourth proportional to 3,615.83, 5,423.92 and 1,018.97 is: 1,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.83 : 5,423.92 = 1,018.97 : x
  2. Step 2: Convert to fraction form
    3,615.83/5,423.92 = 1,018.97/x
  3. Step 3: Cross multiply
    3,615.83x = 5,423.92 × 1,018.97
  4. Step 4: Simplify right side
    3,615.83x = 5,526,782.10
  5. Step 5: Solve for x
    x = 5,526,782.10/3,615.83
  6. Step 6: Final answer
    x = 1,528.50

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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.