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Finding the Fourth Proportional to 5,282.67, 7,925.51 and 2,647.00

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Solution

The fourth proportional to 5,282.67, 7,925.51 and 2,647.00 is: 3,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.67 : 7,925.51 = 2,647.00 : x
  2. Step 2: Convert to fraction form
    5,282.67/7,925.51 = 2,647.00/x
  3. Step 3: Cross multiply
    5,282.67x = 7,925.51 × 2,647.00
  4. Step 4: Simplify right side
    5,282.67x = 20,978,841.49
  5. Step 5: Solve for x
    x = 20,978,841.49/5,282.67
  6. Step 6: Final answer
    x = 3,971.25

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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.