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Finding the Fourth Proportional to 4,347.28, 6,522 and 1,269.28

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Solution

The fourth proportional to 4,347.28, 6,522 and 1,269.28 is: 1,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.28 : 6,522 = 1,269.28 : x
  2. Step 2: Convert to fraction form
    4,347.28/6,522 = 1,269.28/x
  3. Step 3: Cross multiply
    4,347.28x = 6,522 × 1,269.28
  4. Step 4: Simplify right side
    4,347.28x = 8,278,244.16
  5. Step 5: Solve for x
    x = 8,278,244.16/4,347.28
  6. Step 6: Final answer
    x = 1,904.24

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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.