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Finding the Fourth Proportional to 5,218.46, 7,827.68 and 1,269.68

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Solution

The fourth proportional to 5,218.46, 7,827.68 and 1,269.68 is: 1,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.46 : 7,827.68 = 1,269.68 : x
  2. Step 2: Convert to fraction form
    5,218.46/7,827.68 = 1,269.68/x
  3. Step 3: Cross multiply
    5,218.46x = 7,827.68 × 1,269.68
  4. Step 4: Simplify right side
    5,218.46x = 9,938,603.85
  5. Step 5: Solve for x
    x = 9,938,603.85/5,218.46
  6. Step 6: Final answer
    x = 1,904.51

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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.