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Finding the Fourth Proportional to 5,301.28, 7,953 and 1,603.36

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Solution

The fourth proportional to 5,301.28, 7,953 and 1,603.36 is: 2,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.28 : 7,953 = 1,603.36 : x
  2. Step 2: Convert to fraction form
    5,301.28/7,953 = 1,603.36/x
  3. Step 3: Cross multiply
    5,301.28x = 7,953 × 1,603.36
  4. Step 4: Simplify right side
    5,301.28x = 12,751,522.08
  5. Step 5: Solve for x
    x = 12,751,522.08/5,301.28
  6. Step 6: Final answer
    x = 2,405.37

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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.