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Finding the Fourth Proportional to 5,154.48, 7,732.26 and 1,643.65

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Solution

The fourth proportional to 5,154.48, 7,732.26 and 1,643.65 is: 2,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.48 : 7,732.26 = 1,643.65 : x
  2. Step 2: Convert to fraction form
    5,154.48/7,732.26 = 1,643.65/x
  3. Step 3: Cross multiply
    5,154.48x = 7,732.26 × 1,643.65
  4. Step 4: Simplify right side
    5,154.48x = 12,709,109.82
  5. Step 5: Solve for x
    x = 12,709,109.82/5,154.48
  6. Step 6: Final answer
    x = 2,465.64

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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.