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Finding the Fourth Proportional to 4,129.00, 6,182.92 and 2,278.06

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Solution

The fourth proportional to 4,129.00, 6,182.92 and 2,278.06 is: 3,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.00 : 6,182.92 = 2,278.06 : x
  2. Step 2: Convert to fraction form
    4,129.00/6,182.92 = 2,278.06/x
  3. Step 3: Cross multiply
    4,129.00x = 6,182.92 × 2,278.06
  4. Step 4: Simplify right side
    4,129.00x = 14,085,031.82
  5. Step 5: Solve for x
    x = 14,085,031.82/4,129.00
  6. Step 6: Final answer
    x = 3,411.25

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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.