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Finding the Fourth Proportional to 5,292.04, 7,302.73 and 2,902

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Solution

The fourth proportional to 5,292.04, 7,302.73 and 2,902 is: 4,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.04 : 7,302.73 = 2,902 : x
  2. Step 2: Convert to fraction form
    5,292.04/7,302.73 = 2,902/x
  3. Step 3: Cross multiply
    5,292.04x = 7,302.73 × 2,902
  4. Step 4: Simplify right side
    5,292.04x = 21,192,522.46
  5. Step 5: Solve for x
    x = 21,192,522.46/5,292.04
  6. Step 6: Final answer
    x = 4,004.60

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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.