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Finding the Fourth Proportional to 4,756.60, 7,137.60 and 1,835.08

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Solution

The fourth proportional to 4,756.60, 7,137.60 and 1,835.08 is: 2,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.60 : 7,137.60 = 1,835.08 : x
  2. Step 2: Convert to fraction form
    4,756.60/7,137.60 = 1,835.08/x
  3. Step 3: Cross multiply
    4,756.60x = 7,137.60 × 1,835.08
  4. Step 4: Simplify right side
    4,756.60x = 13,098,067.01
  5. Step 5: Solve for x
    x = 13,098,067.01/4,756.60
  6. Step 6: Final answer
    x = 2,753.66

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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.