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Finding the Fourth Proportional to 4,774.07, 7,162.32 and 1,487.18

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Solution

The fourth proportional to 4,774.07, 7,162.32 and 1,487.18 is: 2,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.07 : 7,162.32 = 1,487.18 : x
  2. Step 2: Convert to fraction form
    4,774.07/7,162.32 = 1,487.18/x
  3. Step 3: Cross multiply
    4,774.07x = 7,162.32 × 1,487.18
  4. Step 4: Simplify right side
    4,774.07x = 10,651,623.25
  5. Step 5: Solve for x
    x = 10,651,623.25/4,774.07
  6. Step 6: Final answer
    x = 2,231.14

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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.