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Finding the Fourth Proportional to 5,204.93, 7,806.17 and 1,918.35

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Solution

The fourth proportional to 5,204.93, 7,806.17 and 1,918.35 is: 2,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.93 : 7,806.17 = 1,918.35 : x
  2. Step 2: Convert to fraction form
    5,204.93/7,806.17 = 1,918.35/x
  3. Step 3: Cross multiply
    5,204.93x = 7,806.17 × 1,918.35
  4. Step 4: Simplify right side
    5,204.93x = 14,974,971.02
  5. Step 5: Solve for x
    x = 14,974,971.02/5,204.93
  6. Step 6: Final answer
    x = 2,877.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.