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Finding the Fourth Proportional to 3,661.86, 5,492.20 and 1,029.55

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Solution

The fourth proportional to 3,661.86, 5,492.20 and 1,029.55 is: 1,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.86 : 5,492.20 = 1,029.55 : x
  2. Step 2: Convert to fraction form
    3,661.86/5,492.20 = 1,029.55/x
  3. Step 3: Cross multiply
    3,661.86x = 5,492.20 × 1,029.55
  4. Step 4: Simplify right side
    3,661.86x = 5,654,494.51
  5. Step 5: Solve for x
    x = 5,654,494.51/3,661.86
  6. Step 6: Final answer
    x = 1,544.16

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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.