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Finding the Fourth Proportional to 3,687.80, 5,064.92 and 3,417.24

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Solution

The fourth proportional to 3,687.80, 5,064.92 and 3,417.24 is: 4,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.80 : 5,064.92 = 3,417.24 : x
  2. Step 2: Convert to fraction form
    3,687.80/5,064.92 = 3,417.24/x
  3. Step 3: Cross multiply
    3,687.80x = 5,064.92 × 3,417.24
  4. Step 4: Simplify right side
    3,687.80x = 17,308,047.22
  5. Step 5: Solve for x
    x = 17,308,047.22/3,687.80
  6. Step 6: Final answer
    x = 4,693.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.