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Finding the Fourth Proportional to 4,965.46, 6,853.13 and 2,870.80

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Solution

The fourth proportional to 4,965.46, 6,853.13 and 2,870.80 is: 3,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.46 : 6,853.13 = 2,870.80 : x
  2. Step 2: Convert to fraction form
    4,965.46/6,853.13 = 2,870.80/x
  3. Step 3: Cross multiply
    4,965.46x = 6,853.13 × 2,870.80
  4. Step 4: Simplify right side
    4,965.46x = 19,673,965.60
  5. Step 5: Solve for x
    x = 19,673,965.60/4,965.46
  6. Step 6: Final answer
    x = 3,962.16

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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.