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Finding the Fourth Proportional to 4,735.72, 7,102.14 and 1,657

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Solution

The fourth proportional to 4,735.72, 7,102.14 and 1,657 is: 2,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.72 : 7,102.14 = 1,657 : x
  2. Step 2: Convert to fraction form
    4,735.72/7,102.14 = 1,657/x
  3. Step 3: Cross multiply
    4,735.72x = 7,102.14 × 1,657
  4. Step 4: Simplify right side
    4,735.72x = 11,768,245.98
  5. Step 5: Solve for x
    x = 11,768,245.98/4,735.72
  6. Step 6: Final answer
    x = 2,485.00

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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.