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Finding the Fourth Proportional to 4,705.48, 6,493.80 and 2,716.66

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Solution

The fourth proportional to 4,705.48, 6,493.80 and 2,716.66 is: 3,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.48 : 6,493.80 = 2,716.66 : x
  2. Step 2: Convert to fraction form
    4,705.48/6,493.80 = 2,716.66/x
  3. Step 3: Cross multiply
    4,705.48x = 6,493.80 × 2,716.66
  4. Step 4: Simplify right side
    4,705.48x = 17,641,446.71
  5. Step 5: Solve for x
    x = 17,641,446.71/4,705.48
  6. Step 6: Final answer
    x = 3,749.13

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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.