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Finding the Fourth Proportional to 3,184.64, 4,385.72 and 3,116.80

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Solution

The fourth proportional to 3,184.64, 4,385.72 and 3,116.80 is: 4,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.64 : 4,385.72 = 3,116.80 : x
  2. Step 2: Convert to fraction form
    3,184.64/4,385.72 = 3,116.80/x
  3. Step 3: Cross multiply
    3,184.64x = 4,385.72 × 3,116.80
  4. Step 4: Simplify right side
    3,184.64x = 13,669,412.10
  5. Step 5: Solve for x
    x = 13,669,412.10/3,184.64
  6. Step 6: Final answer
    x = 4,292.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.