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Finding the Fourth Proportional to 5,200.16, 7,802.16 and 3,731.11

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Solution

The fourth proportional to 5,200.16, 7,802.16 and 3,731.11 is: 5,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.16 : 7,802.16 = 3,731.11 : x
  2. Step 2: Convert to fraction form
    5,200.16/7,802.16 = 3,731.11/x
  3. Step 3: Cross multiply
    5,200.16x = 7,802.16 × 3,731.11
  4. Step 4: Simplify right side
    5,200.16x = 29,110,743.33
  5. Step 5: Solve for x
    x = 29,110,743.33/5,200.16
  6. Step 6: Final answer
    x = 5,598.05

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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.