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Finding the Fourth Proportional to 4,774.71, 7,161.76 and 1,487.32

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Solution

The fourth proportional to 4,774.71, 7,161.76 and 1,487.32 is: 2,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.71 : 7,161.76 = 1,487.32 : x
  2. Step 2: Convert to fraction form
    4,774.71/7,161.76 = 1,487.32/x
  3. Step 3: Cross multiply
    4,774.71x = 7,161.76 × 1,487.32
  4. Step 4: Simplify right side
    4,774.71x = 10,651,828.88
  5. Step 5: Solve for x
    x = 10,651,828.88/4,774.71
  6. Step 6: Final answer
    x = 2,230.88

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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.