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Finding the Fourth Proportional to 4,966.08, 6,853.20 and 2,870.16

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Solution

The fourth proportional to 4,966.08, 6,853.20 and 2,870.16 is: 3,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.08 : 6,853.20 = 2,870.16 : x
  2. Step 2: Convert to fraction form
    4,966.08/6,853.20 = 2,870.16/x
  3. Step 3: Cross multiply
    4,966.08x = 6,853.20 × 2,870.16
  4. Step 4: Simplify right side
    4,966.08x = 19,669,780.51
  5. Step 5: Solve for x
    x = 19,669,780.51/4,966.08
  6. Step 6: Final answer
    x = 3,960.83

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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.