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Finding the Fourth Proportional to 3,368.25, 5,051.97 and 902.88

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Solution

The fourth proportional to 3,368.25, 5,051.97 and 902.88 is: 1,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.25 : 5,051.97 = 902.88 : x
  2. Step 2: Convert to fraction form
    3,368.25/5,051.97 = 902.88/x
  3. Step 3: Cross multiply
    3,368.25x = 5,051.97 × 902.88
  4. Step 4: Simplify right side
    3,368.25x = 4,561,322.67
  5. Step 5: Solve for x
    x = 4,561,322.67/3,368.25
  6. Step 6: Final answer
    x = 1,354.21

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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.