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Finding the Fourth Proportional to 5,647,784.16, 7,794,002.40 and 3,069,465.12

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Solution

The fourth proportional to 5,647,784.16, 7,794,002.40 and 3,069,465.12 is: 4,235,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647,784.16 : 7,794,002.40 = 3,069,465.12 : x
  2. Step 2: Convert to fraction form
    5,647,784.16/7,794,002.40 = 3,069,465.12/x
  3. Step 3: Cross multiply
    5,647,784.16x = 7,794,002.40 × 3,069,465.12
  4. Step 4: Simplify right side
    5,647,784.16x = 23,923,418,511,996.29
  5. Step 5: Solve for x
    x = 23,923,418,511,996.29/5,647,784.16
  6. Step 6: Final answer
    x = 4,235,894.62

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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.