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Finding the Fourth Proportional to 5,154,391.78, 7,731,538.44 and 3,133,193.74

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Solution

The fourth proportional to 5,154,391.78, 7,731,538.44 and 3,133,193.74 is: 4,699,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154,391.78 : 7,731,538.44 = 3,133,193.74 : x
  2. Step 2: Convert to fraction form
    5,154,391.78/7,731,538.44 = 3,133,193.74/x
  3. Step 3: Cross multiply
    5,154,391.78x = 7,731,538.44 × 3,133,193.74
  4. Step 4: Simplify right side
    5,154,391.78x = 24,224,407,840,777.37
  5. Step 5: Solve for x
    x = 24,224,407,840,777.37/5,154,391.78
  6. Step 6: Final answer
    x = 4,699,760.68

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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.