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Finding the Fourth Proportional to 5,302.95, 7,957.16 and 2,185.26

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Solution

The fourth proportional to 5,302.95, 7,957.16 and 2,185.26 is: 3,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.95 : 7,957.16 = 2,185.26 : x
  2. Step 2: Convert to fraction form
    5,302.95/7,957.16 = 2,185.26/x
  3. Step 3: Cross multiply
    5,302.95x = 7,957.16 × 2,185.26
  4. Step 4: Simplify right side
    5,302.95x = 17,388,452.54
  5. Step 5: Solve for x
    x = 17,388,452.54/5,302.95
  6. Step 6: Final answer
    x = 3,279.01

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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.