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Finding the Fourth Proportional to 5,731,178.92, 7,903,598.52 and 3,666,847.75

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Solution

The fourth proportional to 5,731,178.92, 7,903,598.52 and 3,666,847.75 is: 5,056,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731,178.92 : 7,903,598.52 = 3,666,847.75 : x
  2. Step 2: Convert to fraction form
    5,731,178.92/7,903,598.52 = 3,666,847.75/x
  3. Step 3: Cross multiply
    5,731,178.92x = 7,903,598.52 × 3,666,847.75
  4. Step 4: Simplify right side
    5,731,178.92x = 28,981,292,446,094.15
  5. Step 5: Solve for x
    x = 28,981,292,446,094.15/5,731,178.92
  6. Step 6: Final answer
    x = 5,056,776.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.