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Finding the Fourth Proportional to 5,097.91, 7,645.02 and 1,765.25

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Solution

The fourth proportional to 5,097.91, 7,645.02 and 1,765.25 is: 2,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.91 : 7,645.02 = 1,765.25 : x
  2. Step 2: Convert to fraction form
    5,097.91/7,645.02 = 1,765.25/x
  3. Step 3: Cross multiply
    5,097.91x = 7,645.02 × 1,765.25
  4. Step 4: Simplify right side
    5,097.91x = 13,495,395.18
  5. Step 5: Solve for x
    x = 13,495,395.18/5,097.91
  6. Step 6: Final answer
    x = 2,647.24

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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.