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Finding the Fourth Proportional to 5,780,568.32, 7,976,937.60 and 3,202,357.76

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Solution

The fourth proportional to 5,780,568.32, 7,976,937.60 and 3,202,357.76 is: 4,419,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,568.32 : 7,976,937.60 = 3,202,357.76 : x
  2. Step 2: Convert to fraction form
    5,780,568.32/7,976,937.60 = 3,202,357.76/x
  3. Step 3: Cross multiply
    5,780,568.32x = 7,976,937.60 × 3,202,357.76
  4. Step 4: Simplify right side
    5,780,568.32x = 25,545,008,024,395.77
  5. Step 5: Solve for x
    x = 25,545,008,024,395.77/5,780,568.32
  6. Step 6: Final answer
    x = 4,419,117.05

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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.