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Finding the Fourth Proportional to 5,642.69, 8,458.46 and 2,675.93

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Solution

The fourth proportional to 5,642.69, 8,458.46 and 2,675.93 is: 4,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.69 : 8,458.46 = 2,675.93 : x
  2. Step 2: Convert to fraction form
    5,642.69/8,458.46 = 2,675.93/x
  3. Step 3: Cross multiply
    5,642.69x = 8,458.46 × 2,675.93
  4. Step 4: Simplify right side
    5,642.69x = 22,634,201.23
  5. Step 5: Solve for x
    x = 22,634,201.23/5,642.69
  6. Step 6: Final answer
    x = 4,011.25

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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.