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Finding the Fourth Proportional to 4,774.68, 7,160.63 and 2,001.27

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Solution

The fourth proportional to 4,774.68, 7,160.63 and 2,001.27 is: 3,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.68 : 7,160.63 = 2,001.27 : x
  2. Step 2: Convert to fraction form
    4,774.68/7,160.63 = 2,001.27/x
  3. Step 3: Cross multiply
    4,774.68x = 7,160.63 × 2,001.27
  4. Step 4: Simplify right side
    4,774.68x = 14,330,343.99
  5. Step 5: Solve for x
    x = 14,330,343.99/4,774.68
  6. Step 6: Final answer
    x = 3,001.32

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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.