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Finding the Fourth Proportional to 3,968, 5,475.84 and 2,312.32

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Solution

The fourth proportional to 3,968, 5,475.84 and 2,312.32 is: 3,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968 : 5,475.84 = 2,312.32 : x
  2. Step 2: Convert to fraction form
    3,968/5,475.84 = 2,312.32/x
  3. Step 3: Cross multiply
    3,968x = 5,475.84 × 2,312.32
  4. Step 4: Simplify right side
    3,968x = 12,661,894.35
  5. Step 5: Solve for x
    x = 12,661,894.35/3,968
  6. Step 6: Final answer
    x = 3,191.00

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Why These Related Problems?

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