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Finding the Fourth Proportional to 4,697.70, 7,046.64 and 2,100.12

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Solution

The fourth proportional to 4,697.70, 7,046.64 and 2,100.12 is: 3,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.70 : 7,046.64 = 2,100.12 : x
  2. Step 2: Convert to fraction form
    4,697.70/7,046.64 = 2,100.12/x
  3. Step 3: Cross multiply
    4,697.70x = 7,046.64 × 2,100.12
  4. Step 4: Simplify right side
    4,697.70x = 14,798,789.60
  5. Step 5: Solve for x
    x = 14,798,789.60/4,697.70
  6. Step 6: Final answer
    x = 3,150.22

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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.