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Finding the Fourth Proportional to 3,830,209.92, 5,746,155.30 and 1,134,745.92

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Solution

The fourth proportional to 3,830,209.92, 5,746,155.30 and 1,134,745.92 is: 1,702,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,209.92 : 5,746,155.30 = 1,134,745.92 : x
  2. Step 2: Convert to fraction form
    3,830,209.92/5,746,155.30 = 1,134,745.92/x
  3. Step 3: Cross multiply
    3,830,209.92x = 5,746,155.30 × 1,134,745.92
  4. Step 4: Simplify right side
    3,830,209.92x = 6,520,426,282,361.38
  5. Step 5: Solve for x
    x = 6,520,426,282,361.38/3,830,209.92
  6. Step 6: Final answer
    x = 1,702,367.86

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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.