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Finding the Fourth Proportional to 4,606.10, 6,910.21 and 1,319.22

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Solution

The fourth proportional to 4,606.10, 6,910.21 and 1,319.22 is: 1,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.10 : 6,910.21 = 1,319.22 : x
  2. Step 2: Convert to fraction form
    4,606.10/6,910.21 = 1,319.22/x
  3. Step 3: Cross multiply
    4,606.10x = 6,910.21 × 1,319.22
  4. Step 4: Simplify right side
    4,606.10x = 9,116,087.24
  5. Step 5: Solve for x
    x = 9,116,087.24/4,606.10
  6. Step 6: Final answer
    x = 1,979.13

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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.