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Finding the Fourth Proportional to 5,347.33, 8,022 and 2,060.14

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Solution

The fourth proportional to 5,347.33, 8,022 and 2,060.14 is: 3,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.33 : 8,022 = 2,060.14 : x
  2. Step 2: Convert to fraction form
    5,347.33/8,022 = 2,060.14/x
  3. Step 3: Cross multiply
    5,347.33x = 8,022 × 2,060.14
  4. Step 4: Simplify right side
    5,347.33x = 16,526,443.08
  5. Step 5: Solve for x
    x = 16,526,443.08/5,347.33
  6. Step 6: Final answer
    x = 3,090.60

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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.