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Finding the Fourth Proportional to 4,967.40, 6,853.14 and 2,842.56

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Solution

The fourth proportional to 4,967.40, 6,853.14 and 2,842.56 is: 3,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.40 : 6,853.14 = 2,842.56 : x
  2. Step 2: Convert to fraction form
    4,967.40/6,853.14 = 2,842.56/x
  3. Step 3: Cross multiply
    4,967.40x = 6,853.14 × 2,842.56
  4. Step 4: Simplify right side
    4,967.40x = 19,480,461.64
  5. Step 5: Solve for x
    x = 19,480,461.64/4,967.40
  6. Step 6: Final answer
    x = 3,921.66

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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.