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Finding the Fourth Proportional to 5,601.76, 8,402.43 and 1,706.06

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Solution

The fourth proportional to 5,601.76, 8,402.43 and 1,706.06 is: 2,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.76 : 8,402.43 = 1,706.06 : x
  2. Step 2: Convert to fraction form
    5,601.76/8,402.43 = 1,706.06/x
  3. Step 3: Cross multiply
    5,601.76x = 8,402.43 × 1,706.06
  4. Step 4: Simplify right side
    5,601.76x = 14,335,077.13
  5. Step 5: Solve for x
    x = 14,335,077.13/5,601.76
  6. Step 6: Final answer
    x = 2,559.03

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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.