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Finding the Fourth Proportional to 3,184.76, 4,382.70 and 3,165.88

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Solution

The fourth proportional to 3,184.76, 4,382.70 and 3,165.88 is: 4,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.76 : 4,382.70 = 3,165.88 : x
  2. Step 2: Convert to fraction form
    3,184.76/4,382.70 = 3,165.88/x
  3. Step 3: Cross multiply
    3,184.76x = 4,382.70 × 3,165.88
  4. Step 4: Simplify right side
    3,184.76x = 13,875,102.28
  5. Step 5: Solve for x
    x = 13,875,102.28/3,184.76
  6. Step 6: Final answer
    x = 4,356.72

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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.