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Finding the Fourth Proportional to 3,869,641.76, 5,804,593.65 and 1,029,756.65

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Solution

The fourth proportional to 3,869,641.76, 5,804,593.65 and 1,029,756.65 is: 1,544,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869,641.76 : 5,804,593.65 = 1,029,756.65 : x
  2. Step 2: Convert to fraction form
    3,869,641.76/5,804,593.65 = 1,029,756.65/x
  3. Step 3: Cross multiply
    3,869,641.76x = 5,804,593.65 × 1,029,756.65
  4. Step 4: Simplify right side
    3,869,641.76x = 5,977,318,882,612.31
  5. Step 5: Solve for x
    x = 5,977,318,882,612.31/3,869,641.76
  6. Step 6: Final answer
    x = 1,544,669.83

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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.