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Finding the Fourth Proportional to 5,642,532.02, 7,789,078.02 and 3,809,473.40

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Solution

The fourth proportional to 5,642,532.02, 7,789,078.02 and 3,809,473.40 is: 5,258,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,532.02 : 7,789,078.02 = 3,809,473.40 : x
  2. Step 2: Convert to fraction form
    5,642,532.02/7,789,078.02 = 3,809,473.40/x
  3. Step 3: Cross multiply
    5,642,532.02x = 7,789,078.02 × 3,809,473.40
  4. Step 4: Simplify right side
    5,642,532.02x = 29,672,285,527,714.66
  5. Step 5: Solve for x
    x = 29,672,285,527,714.66/5,642,532.02
  6. Step 6: Final answer
    x = 5,258,682.70

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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.