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Finding the Fourth Proportional to 3,457.68, 4,771.88 and 1,966.06

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Solution

The fourth proportional to 3,457.68, 4,771.88 and 1,966.06 is: 2,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.68 : 4,771.88 = 1,966.06 : x
  2. Step 2: Convert to fraction form
    3,457.68/4,771.88 = 1,966.06/x
  3. Step 3: Cross multiply
    3,457.68x = 4,771.88 × 1,966.06
  4. Step 4: Simplify right side
    3,457.68x = 9,381,802.39
  5. Step 5: Solve for x
    x = 9,381,802.39/3,457.68
  6. Step 6: Final answer
    x = 2,713.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.