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Finding the Fourth Proportional to 3,869.61, 5,804.40 and 1,404.42

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Solution

The fourth proportional to 3,869.61, 5,804.40 and 1,404.42 is: 2,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.61 : 5,804.40 = 1,404.42 : x
  2. Step 2: Convert to fraction form
    3,869.61/5,804.40 = 1,404.42/x
  3. Step 3: Cross multiply
    3,869.61x = 5,804.40 × 1,404.42
  4. Step 4: Simplify right side
    3,869.61x = 8,151,786.43
  5. Step 5: Solve for x
    x = 8,151,786.43/3,869.61
  6. Step 6: Final answer
    x = 2,106.62

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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.