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Finding the Fourth Proportional to 5,601.88, 8,402.54 and 1,706

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Solution

The fourth proportional to 5,601.88, 8,402.54 and 1,706 is: 2,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.88 : 8,402.54 = 1,706 : x
  2. Step 2: Convert to fraction form
    5,601.88/8,402.54 = 1,706/x
  3. Step 3: Cross multiply
    5,601.88x = 8,402.54 × 1,706
  4. Step 4: Simplify right side
    5,601.88x = 14,334,733.24
  5. Step 5: Solve for x
    x = 14,334,733.24/5,601.88
  6. Step 6: Final answer
    x = 2,558.91

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Why These Related Problems?

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