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Finding the Fourth Proportional to 5,902.75, 8,854.53 and 1,954

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Solution

The fourth proportional to 5,902.75, 8,854.53 and 1,954 is: 2,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.75 : 8,854.53 = 1,954 : x
  2. Step 2: Convert to fraction form
    5,902.75/8,854.53 = 1,954/x
  3. Step 3: Cross multiply
    5,902.75x = 8,854.53 × 1,954
  4. Step 4: Simplify right side
    5,902.75x = 17,301,751.62
  5. Step 5: Solve for x
    x = 17,301,751.62/5,902.75
  6. Step 6: Final answer
    x = 2,931.13

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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.