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Finding the Fourth Proportional to 5,200.96, 7,802.12 and 1,691.51

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Solution

The fourth proportional to 5,200.96, 7,802.12 and 1,691.51 is: 2,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.96 : 7,802.12 = 1,691.51 : x
  2. Step 2: Convert to fraction form
    5,200.96/7,802.12 = 1,691.51/x
  3. Step 3: Cross multiply
    5,200.96x = 7,802.12 × 1,691.51
  4. Step 4: Simplify right side
    5,200.96x = 13,197,351.16
  5. Step 5: Solve for x
    x = 13,197,351.16/5,200.96
  6. Step 6: Final answer
    x = 2,537.48

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1.5x scale

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.