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Finding the Fourth Proportional to 4,297.50, 5,927.31 and 2,973.42

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Solution

The fourth proportional to 4,297.50, 5,927.31 and 2,973.42 is: 4,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.50 : 5,927.31 = 2,973.42 : x
  2. Step 2: Convert to fraction form
    4,297.50/5,927.31 = 2,973.42/x
  3. Step 3: Cross multiply
    4,297.50x = 5,927.31 × 2,973.42
  4. Step 4: Simplify right side
    4,297.50x = 17,624,382.10
  5. Step 5: Solve for x
    x = 17,624,382.10/4,297.50
  6. Step 6: Final answer
    x = 4,101.08

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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.