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Finding the Fourth Proportional to 5,302.88, 7,952.13 and 2,301.11

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Solution

The fourth proportional to 5,302.88, 7,952.13 and 2,301.11 is: 3,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.88 : 7,952.13 = 2,301.11 : x
  2. Step 2: Convert to fraction form
    5,302.88/7,952.13 = 2,301.11/x
  3. Step 3: Cross multiply
    5,302.88x = 7,952.13 × 2,301.11
  4. Step 4: Simplify right side
    5,302.88x = 18,298,724.55
  5. Step 5: Solve for x
    x = 18,298,724.55/5,302.88
  6. Step 6: Final answer
    x = 3,450.72

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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.