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Finding the Fourth Proportional to 3,457.80, 4,767.54 and 2,705.16

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Solution

The fourth proportional to 3,457.80, 4,767.54 and 2,705.16 is: 3,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.80 : 4,767.54 = 2,705.16 : x
  2. Step 2: Convert to fraction form
    3,457.80/4,767.54 = 2,705.16/x
  3. Step 3: Cross multiply
    3,457.80x = 4,767.54 × 2,705.16
  4. Step 4: Simplify right side
    3,457.80x = 12,896,958.51
  5. Step 5: Solve for x
    x = 12,896,958.51/3,457.80
  6. Step 6: Final answer
    x = 3,729.82

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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.