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Finding the Fourth Proportional to 4,735.42, 7,103.11 and 1,403.93

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Solution

The fourth proportional to 4,735.42, 7,103.11 and 1,403.93 is: 2,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.42 : 7,103.11 = 1,403.93 : x
  2. Step 2: Convert to fraction form
    4,735.42/7,103.11 = 1,403.93/x
  3. Step 3: Cross multiply
    4,735.42x = 7,103.11 × 1,403.93
  4. Step 4: Simplify right side
    4,735.42x = 9,972,269.22
  5. Step 5: Solve for x
    x = 9,972,269.22/4,735.42
  6. Step 6: Final answer
    x = 2,105.89

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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.