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Finding the Fourth Proportional to 4,561.74, 6,832.71 and 2,801.40

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Solution

The fourth proportional to 4,561.74, 6,832.71 and 2,801.40 is: 4,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.74 : 6,832.71 = 2,801.40 : x
  2. Step 2: Convert to fraction form
    4,561.74/6,832.71 = 2,801.40/x
  3. Step 3: Cross multiply
    4,561.74x = 6,832.71 × 2,801.40
  4. Step 4: Simplify right side
    4,561.74x = 19,141,153.79
  5. Step 5: Solve for x
    x = 19,141,153.79/4,561.74
  6. Step 6: Final answer
    x = 4,196.02

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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.