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Finding the Fourth Proportional to 5,062.12, 7,595.74 and 3,415.20

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Solution

The fourth proportional to 5,062.12, 7,595.74 and 3,415.20 is: 5,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.12 : 7,595.74 = 3,415.20 : x
  2. Step 2: Convert to fraction form
    5,062.12/7,595.74 = 3,415.20/x
  3. Step 3: Cross multiply
    5,062.12x = 7,595.74 × 3,415.20
  4. Step 4: Simplify right side
    5,062.12x = 25,940,991.19
  5. Step 5: Solve for x
    x = 25,940,991.19/5,062.12
  6. Step 6: Final answer
    x = 5,124.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.