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Finding the Fourth Proportional to 4,735.52, 7,103.28 and 1,656.80

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Solution

The fourth proportional to 4,735.52, 7,103.28 and 1,656.80 is: 2,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.52 : 7,103.28 = 1,656.80 : x
  2. Step 2: Convert to fraction form
    4,735.52/7,103.28 = 1,656.80/x
  3. Step 3: Cross multiply
    4,735.52x = 7,103.28 × 1,656.80
  4. Step 4: Simplify right side
    4,735.52x = 11,768,714.30
  5. Step 5: Solve for x
    x = 11,768,714.30/4,735.52
  6. Step 6: Final answer
    x = 2,485.20

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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.