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Finding the Fourth Proportional to 4,774.34, 7,153.92 and 3,538.69

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Solution

The fourth proportional to 4,774.34, 7,153.92 and 3,538.69 is: 5,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.34 : 7,153.92 = 3,538.69 : x
  2. Step 2: Convert to fraction form
    4,774.34/7,153.92 = 3,538.69/x
  3. Step 3: Cross multiply
    4,774.34x = 7,153.92 × 3,538.69
  4. Step 4: Simplify right side
    4,774.34x = 25,315,487.28
  5. Step 5: Solve for x
    x = 25,315,487.28/4,774.34
  6. Step 6: Final answer
    x = 5,302.40

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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.