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Finding the Fourth Proportional to 7,058.94, 10,581.38 and 3,538.20

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Solution

The fourth proportional to 7,058.94, 10,581.38 and 3,538.20 is: 5,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.94 : 10,581.38 = 3,538.20 : x
  2. Step 2: Convert to fraction form
    7,058.94/10,581.38 = 3,538.20/x
  3. Step 3: Cross multiply
    7,058.94x = 10,581.38 × 3,538.20
  4. Step 4: Simplify right side
    7,058.94x = 37,439,021.03
  5. Step 5: Solve for x
    x = 37,439,021.03/7,058.94
  6. Step 6: Final answer
    x = 5,303.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.