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Finding the Fourth Proportional to 4,358.25, 6,538.64 and 1,280.25

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Solution

The fourth proportional to 4,358.25, 6,538.64 and 1,280.25 is: 1,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.25 : 6,538.64 = 1,280.25 : x
  2. Step 2: Convert to fraction form
    4,358.25/6,538.64 = 1,280.25/x
  3. Step 3: Cross multiply
    4,358.25x = 6,538.64 × 1,280.25
  4. Step 4: Simplify right side
    4,358.25x = 8,371,087.46
  5. Step 5: Solve for x
    x = 8,371,087.46/4,358.25
  6. Step 6: Final answer
    x = 1,920.75

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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.