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Finding the Fourth Proportional to 3,129.51, 4,697.34 and 2,612.82

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Solution

The fourth proportional to 3,129.51, 4,697.34 and 2,612.82 is: 3,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.51 : 4,697.34 = 2,612.82 : x
  2. Step 2: Convert to fraction form
    3,129.51/4,697.34 = 2,612.82/x
  3. Step 3: Cross multiply
    3,129.51x = 4,697.34 × 2,612.82
  4. Step 4: Simplify right side
    3,129.51x = 12,273,303.90
  5. Step 5: Solve for x
    x = 12,273,303.90/3,129.51
  6. Step 6: Final answer
    x = 3,921.80

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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.