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Finding the Fourth Proportional to 3,897,234.80, 5,846,737.80 and 1,767,928.40

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Solution

The fourth proportional to 3,897,234.80, 5,846,737.80 and 1,767,928.40 is: 2,652,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,234.80 : 5,846,737.80 = 1,767,928.40 : x
  2. Step 2: Convert to fraction form
    3,897,234.80/5,846,737.80 = 1,767,928.40/x
  3. Step 3: Cross multiply
    3,897,234.80x = 5,846,737.80 × 1,767,928.40
  4. Step 4: Simplify right side
    3,897,234.80x = 10,336,613,803,973.52
  5. Step 5: Solve for x
    x = 10,336,613,803,973.52/3,897,234.80
  6. Step 6: Final answer
    x = 2,652,294.34

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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.