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Finding the Fourth Proportional to 4,761.01, 7,141.52 and 1,641.09

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Solution

The fourth proportional to 4,761.01, 7,141.52 and 1,641.09 is: 2,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.01 : 7,141.52 = 1,641.09 : x
  2. Step 2: Convert to fraction form
    4,761.01/7,141.52 = 1,641.09/x
  3. Step 3: Cross multiply
    4,761.01x = 7,141.52 × 1,641.09
  4. Step 4: Simplify right side
    4,761.01x = 11,719,881.16
  5. Step 5: Solve for x
    x = 11,719,881.16/4,761.01
  6. Step 6: Final answer
    x = 2,461.64

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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.