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Finding the Fourth Proportional to 5,097.33, 7,646.76 and 4,817.25

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Solution

The fourth proportional to 5,097.33, 7,646.76 and 4,817.25 is: 7,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.33 : 7,646.76 = 4,817.25 : x
  2. Step 2: Convert to fraction form
    5,097.33/7,646.76 = 4,817.25/x
  3. Step 3: Cross multiply
    5,097.33x = 7,646.76 × 4,817.25
  4. Step 4: Simplify right side
    5,097.33x = 36,836,354.61
  5. Step 5: Solve for x
    x = 36,836,354.61/5,097.33
  6. Step 6: Final answer
    x = 7,226.60

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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.