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Finding the Fourth Proportional to 2,968.88, 4,475.86 and 2,810.12

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Solution

The fourth proportional to 2,968.88, 4,475.86 and 2,810.12 is: 4,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.88 : 4,475.86 = 2,810.12 : x
  2. Step 2: Convert to fraction form
    2,968.88/4,475.86 = 2,810.12/x
  3. Step 3: Cross multiply
    2,968.88x = 4,475.86 × 2,810.12
  4. Step 4: Simplify right side
    2,968.88x = 12,577,703.70
  5. Step 5: Solve for x
    x = 12,577,703.70/2,968.88
  6. Step 6: Final answer
    x = 4,236.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.