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Finding the Fourth Proportional to 5,645.67, 8,468.54 and 2,315.74

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Solution

The fourth proportional to 5,645.67, 8,468.54 and 2,315.74 is: 3,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.67 : 8,468.54 = 2,315.74 : x
  2. Step 2: Convert to fraction form
    5,645.67/8,468.54 = 2,315.74/x
  3. Step 3: Cross multiply
    5,645.67x = 8,468.54 × 2,315.74
  4. Step 4: Simplify right side
    5,645.67x = 19,610,936.82
  5. Step 5: Solve for x
    x = 19,610,936.82/5,645.67
  6. Step 6: Final answer
    x = 3,473.62

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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.