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Finding the Fourth Proportional to 3,905.59, 5,390.67 and 2,312.32

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Solution

The fourth proportional to 3,905.59, 5,390.67 and 2,312.32 is: 3,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.59 : 5,390.67 = 2,312.32 : x
  2. Step 2: Convert to fraction form
    3,905.59/5,390.67 = 2,312.32/x
  3. Step 3: Cross multiply
    3,905.59x = 5,390.67 × 2,312.32
  4. Step 4: Simplify right side
    3,905.59x = 12,464,954.05
  5. Step 5: Solve for x
    x = 12,464,954.05/3,905.59
  6. Step 6: Final answer
    x = 3,191.57

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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.