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Finding the Fourth Proportional to 3,259.18, 4,888.77 and 794

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Solution

The fourth proportional to 3,259.18, 4,888.77 and 794 is: 1,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.18 : 4,888.77 = 794 : x
  2. Step 2: Convert to fraction form
    3,259.18/4,888.77 = 794/x
  3. Step 3: Cross multiply
    3,259.18x = 4,888.77 × 794
  4. Step 4: Simplify right side
    3,259.18x = 3,881,683.38
  5. Step 5: Solve for x
    x = 3,881,683.38/3,259.18
  6. Step 6: Final answer
    x = 1,191.00

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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.