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Finding the Fourth Proportional to 5,147.00, 7,720.80 and 1,449.51

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Solution

The fourth proportional to 5,147.00, 7,720.80 and 1,449.51 is: 2,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.00 : 7,720.80 = 1,449.51 : x
  2. Step 2: Convert to fraction form
    5,147.00/7,720.80 = 1,449.51/x
  3. Step 3: Cross multiply
    5,147.00x = 7,720.80 × 1,449.51
  4. Step 4: Simplify right side
    5,147.00x = 11,191,376.81
  5. Step 5: Solve for x
    x = 11,191,376.81/5,147.00
  6. Step 6: Final answer
    x = 2,174.35

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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.