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Finding the Fourth Proportional to 5,265.84, 7,266.24 and 3,141.50

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Solution

The fourth proportional to 5,265.84, 7,266.24 and 3,141.50 is: 4,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.84 : 7,266.24 = 3,141.50 : x
  2. Step 2: Convert to fraction form
    5,265.84/7,266.24 = 3,141.50/x
  3. Step 3: Cross multiply
    5,265.84x = 7,266.24 × 3,141.50
  4. Step 4: Simplify right side
    5,265.84x = 22,826,856.63
  5. Step 5: Solve for x
    x = 22,826,856.63/5,265.84
  6. Step 6: Final answer
    x = 4,334.89

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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.