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Finding the Fourth Proportional to 4,102.64, 6,126.12 and 3,260.22

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Solution

The fourth proportional to 4,102.64, 6,126.12 and 3,260.22 is: 4,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.64 : 6,126.12 = 3,260.22 : x
  2. Step 2: Convert to fraction form
    4,102.64/6,126.12 = 3,260.22/x
  3. Step 3: Cross multiply
    4,102.64x = 6,126.12 × 3,260.22
  4. Step 4: Simplify right side
    4,102.64x = 19,972,498.95
  5. Step 5: Solve for x
    x = 19,972,498.95/4,102.64
  6. Step 6: Final answer
    x = 4,868.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.