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Finding the Fourth Proportional to 3,534.72, 5,301.39 and 1,068.96

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Solution

The fourth proportional to 3,534.72, 5,301.39 and 1,068.96 is: 1,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.72 : 5,301.39 = 1,068.96 : x
  2. Step 2: Convert to fraction form
    3,534.72/5,301.39 = 1,068.96/x
  3. Step 3: Cross multiply
    3,534.72x = 5,301.39 × 1,068.96
  4. Step 4: Simplify right side
    3,534.72x = 5,666,973.85
  5. Step 5: Solve for x
    x = 5,666,973.85/3,534.72
  6. Step 6: Final answer
    x = 1,603.23

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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.