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Finding the Fourth Proportional to 5,672.25, 7,828.72 and 5,423.18

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Solution

The fourth proportional to 5,672.25, 7,828.72 and 5,423.18 is: 7,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.25 : 7,828.72 = 5,423.18 : x
  2. Step 2: Convert to fraction form
    5,672.25/7,828.72 = 5,423.18/x
  3. Step 3: Cross multiply
    5,672.25x = 7,828.72 × 5,423.18
  4. Step 4: Simplify right side
    5,672.25x = 42,456,505.03
  5. Step 5: Solve for x
    x = 42,456,505.03/5,672.25
  6. Step 6: Final answer
    x = 7,484.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.