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Finding the Fourth Proportional to 5,620.23, 7,750.62 and 4,207.32

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Solution

The fourth proportional to 5,620.23, 7,750.62 and 4,207.32 is: 5,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.23 : 7,750.62 = 4,207.32 : x
  2. Step 2: Convert to fraction form
    5,620.23/7,750.62 = 4,207.32/x
  3. Step 3: Cross multiply
    5,620.23x = 7,750.62 × 4,207.32
  4. Step 4: Simplify right side
    5,620.23x = 32,609,338.54
  5. Step 5: Solve for x
    x = 32,609,338.54/5,620.23
  6. Step 6: Final answer
    x = 5,802.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.