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Finding the Fourth Proportional to 4,066.34, 6,098.30 and 1,726.30

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Solution

The fourth proportional to 4,066.34, 6,098.30 and 1,726.30 is: 2,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.34 : 6,098.30 = 1,726.30 : x
  2. Step 2: Convert to fraction form
    4,066.34/6,098.30 = 1,726.30/x
  3. Step 3: Cross multiply
    4,066.34x = 6,098.30 × 1,726.30
  4. Step 4: Simplify right side
    4,066.34x = 10,527,495.29
  5. Step 5: Solve for x
    x = 10,527,495.29/4,066.34
  6. Step 6: Final answer
    x = 2,588.94

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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.