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Finding the Fourth Proportional to 3,427.68, 4,730.49 and 2,867.16

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Solution

The fourth proportional to 3,427.68, 4,730.49 and 2,867.16 is: 3,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.68 : 4,730.49 = 2,867.16 : x
  2. Step 2: Convert to fraction form
    3,427.68/4,730.49 = 2,867.16/x
  3. Step 3: Cross multiply
    3,427.68x = 4,730.49 × 2,867.16
  4. Step 4: Simplify right side
    3,427.68x = 13,563,071.71
  5. Step 5: Solve for x
    x = 13,563,071.71/3,427.68
  6. Step 6: Final answer
    x = 3,956.92

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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.