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Finding the Fourth Proportional to 5,170.50, 7,135.29 and 2,962.50

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Solution

The fourth proportional to 5,170.50, 7,135.29 and 2,962.50 is: 4,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.50 : 7,135.29 = 2,962.50 : x
  2. Step 2: Convert to fraction form
    5,170.50/7,135.29 = 2,962.50/x
  3. Step 3: Cross multiply
    5,170.50x = 7,135.29 × 2,962.50
  4. Step 4: Simplify right side
    5,170.50x = 21,138,296.63
  5. Step 5: Solve for x
    x = 21,138,296.63/5,170.50
  6. Step 6: Final answer
    x = 4,088.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.