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Finding the Fourth Proportional to 5,106.07, 7,659.09 and 1,643.32

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Solution

The fourth proportional to 5,106.07, 7,659.09 and 1,643.32 is: 2,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.07 : 7,659.09 = 1,643.32 : x
  2. Step 2: Convert to fraction form
    5,106.07/7,659.09 = 1,643.32/x
  3. Step 3: Cross multiply
    5,106.07x = 7,659.09 × 1,643.32
  4. Step 4: Simplify right side
    5,106.07x = 12,586,335.78
  5. Step 5: Solve for x
    x = 12,586,335.78/5,106.07
  6. Step 6: Final answer
    x = 2,464.98

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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.