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Finding the Fourth Proportional to 3,664.65, 5,056.81 and 2,071.13

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Solution

The fourth proportional to 3,664.65, 5,056.81 and 2,071.13 is: 2,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.65 : 5,056.81 = 2,071.13 : x
  2. Step 2: Convert to fraction form
    3,664.65/5,056.81 = 2,071.13/x
  3. Step 3: Cross multiply
    3,664.65x = 5,056.81 × 2,071.13
  4. Step 4: Simplify right side
    3,664.65x = 10,473,275.26
  5. Step 5: Solve for x
    x = 10,473,275.26/3,664.65
  6. Step 6: Final answer
    x = 2,857.92

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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.