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Finding the Fourth Proportional to 4,964.88, 6,852.16 and 2,840

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Solution

The fourth proportional to 4,964.88, 6,852.16 and 2,840 is: 3,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.88 : 6,852.16 = 2,840 : x
  2. Step 2: Convert to fraction form
    4,964.88/6,852.16 = 2,840/x
  3. Step 3: Cross multiply
    4,964.88x = 6,852.16 × 2,840
  4. Step 4: Simplify right side
    4,964.88x = 19,460,134.40
  5. Step 5: Solve for x
    x = 19,460,134.40/4,964.88
  6. Step 6: Final answer
    x = 3,919.56

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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.