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Finding the Fourth Proportional to 5,301.02, 7,948.42 and 1,602.14

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Solution

The fourth proportional to 5,301.02, 7,948.42 and 1,602.14 is: 2,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.02 : 7,948.42 = 1,602.14 : x
  2. Step 2: Convert to fraction form
    5,301.02/7,948.42 = 1,602.14/x
  3. Step 3: Cross multiply
    5,301.02x = 7,948.42 × 1,602.14
  4. Step 4: Simplify right side
    5,301.02x = 12,734,481.62
  5. Step 5: Solve for x
    x = 12,734,481.62/5,301.02
  6. Step 6: Final answer
    x = 2,402.27

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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.