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Finding the Fourth Proportional to 5,302.17, 7,938.12 and 4,208.13

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Solution

The fourth proportional to 5,302.17, 7,938.12 and 4,208.13 is: 6,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.17 : 7,938.12 = 4,208.13 : x
  2. Step 2: Convert to fraction form
    5,302.17/7,938.12 = 4,208.13/x
  3. Step 3: Cross multiply
    5,302.17x = 7,938.12 × 4,208.13
  4. Step 4: Simplify right side
    5,302.17x = 33,404,640.92
  5. Step 5: Solve for x
    x = 33,404,640.92/5,302.17
  6. Step 6: Final answer
    x = 6,300.18

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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.