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Finding the Fourth Proportional to 4,735.17, 7,101.05 and 1,402.43

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Solution

The fourth proportional to 4,735.17, 7,101.05 and 1,402.43 is: 2,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.17 : 7,101.05 = 1,402.43 : x
  2. Step 2: Convert to fraction form
    4,735.17/7,101.05 = 1,402.43/x
  3. Step 3: Cross multiply
    4,735.17x = 7,101.05 × 1,402.43
  4. Step 4: Simplify right side
    4,735.17x = 9,958,683.03
  5. Step 5: Solve for x
    x = 9,958,683.03/4,735.17
  6. Step 6: Final answer
    x = 2,103.13

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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.