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Finding the Fourth Proportional to 3,869,644.76, 5,804,598.15 and 1,029,759.65

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Solution

The fourth proportional to 3,869,644.76, 5,804,598.15 and 1,029,759.65 is: 1,544,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869,644.76 : 5,804,598.15 = 1,029,759.65 : x
  2. Step 2: Convert to fraction form
    3,869,644.76/5,804,598.15 = 1,029,759.65/x
  3. Step 3: Cross multiply
    3,869,644.76x = 5,804,598.15 × 1,029,759.65
  4. Step 4: Simplify right side
    3,869,644.76x = 5,977,340,930,311.66
  5. Step 5: Solve for x
    x = 5,977,340,930,311.66/3,869,644.76
  6. Step 6: Final answer
    x = 1,544,674.33

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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.