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Finding the Fourth Proportional to 5,715.67, 7,885.88 and 3,725.50

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Solution

The fourth proportional to 5,715.67, 7,885.88 and 3,725.50 is: 5,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.67 : 7,885.88 = 3,725.50 : x
  2. Step 2: Convert to fraction form
    5,715.67/7,885.88 = 3,725.50/x
  3. Step 3: Cross multiply
    5,715.67x = 7,885.88 × 3,725.50
  4. Step 4: Simplify right side
    5,715.67x = 29,378,827.31
  5. Step 5: Solve for x
    x = 29,378,827.31/5,715.67
  6. Step 6: Final answer
    x = 5,140.05

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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.