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Finding the Fourth Proportional to 4,776.04, 7,161.90 and 2,469.16

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Solution

The fourth proportional to 4,776.04, 7,161.90 and 2,469.16 is: 3,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.04 : 7,161.90 = 2,469.16 : x
  2. Step 2: Convert to fraction form
    4,776.04/7,161.90 = 2,469.16/x
  3. Step 3: Cross multiply
    4,776.04x = 7,161.90 × 2,469.16
  4. Step 4: Simplify right side
    4,776.04x = 17,683,877.00
  5. Step 5: Solve for x
    x = 17,683,877.00/4,776.04
  6. Step 6: Final answer
    x = 3,702.62

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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.