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Finding the Fourth Proportional to 5,307.89, 7,321.61 and 3,817.79

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Solution

The fourth proportional to 5,307.89, 7,321.61 and 3,817.79 is: 5,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.89 : 7,321.61 = 3,817.79 : x
  2. Step 2: Convert to fraction form
    5,307.89/7,321.61 = 3,817.79/x
  3. Step 3: Cross multiply
    5,307.89x = 7,321.61 × 3,817.79
  4. Step 4: Simplify right side
    5,307.89x = 27,952,313.74
  5. Step 5: Solve for x
    x = 27,952,313.74/5,307.89
  6. Step 6: Final answer
    x = 5,266.19

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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.