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Finding the Fourth Proportional to 5,196,259.46, 7,739,596.14 and 4,963,114.38

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Solution

The fourth proportional to 5,196,259.46, 7,739,596.14 and 4,963,114.38 is: 7,392,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,259.46 : 7,739,596.14 = 4,963,114.38 : x
  2. Step 2: Convert to fraction form
    5,196,259.46/7,739,596.14 = 4,963,114.38/x
  3. Step 3: Cross multiply
    5,196,259.46x = 7,739,596.14 × 4,963,114.38
  4. Step 4: Simplify right side
    5,196,259.46x = 38,412,500,897,826.49
  5. Step 5: Solve for x
    x = 38,412,500,897,826.49/5,196,259.46
  6. Step 6: Final answer
    x = 7,392,336.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.