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Finding the Fourth Proportional to 5,720.20, 7,991 and 5,720.20

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Solution

The fourth proportional to 5,720.20, 7,991 and 5,720.20 is: 7,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.20 : 7,991 = 5,720.20 : x
  2. Step 2: Convert to fraction form
    5,720.20/7,991 = 5,720.20/x
  3. Step 3: Cross multiply
    5,720.20x = 7,991 × 5,720.20
  4. Step 4: Simplify right side
    5,720.20x = 45,710,118.20
  5. Step 5: Solve for x
    x = 45,710,118.20/5,720.20
  6. Step 6: Final answer
    x = 7,991.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.