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Finding the Fourth Proportional to 5,646.80, 8,455.80 and 5,387.60

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Solution

The fourth proportional to 5,646.80, 8,455.80 and 5,387.60 is: 8,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.80 : 8,455.80 = 5,387.60 : x
  2. Step 2: Convert to fraction form
    5,646.80/8,455.80 = 5,387.60/x
  3. Step 3: Cross multiply
    5,646.80x = 8,455.80 × 5,387.60
  4. Step 4: Simplify right side
    5,646.80x = 45,556,468.08
  5. Step 5: Solve for x
    x = 45,556,468.08/5,646.80
  6. Step 6: Final answer
    x = 8,067.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.