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Finding the Fourth Proportional to 5,406.39, 8,109.57 and 1,302.39

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Solution

The fourth proportional to 5,406.39, 8,109.57 and 1,302.39 is: 1,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.39 : 8,109.57 = 1,302.39 : x
  2. Step 2: Convert to fraction form
    5,406.39/8,109.57 = 1,302.39/x
  3. Step 3: Cross multiply
    5,406.39x = 8,109.57 × 1,302.39
  4. Step 4: Simplify right side
    5,406.39x = 10,561,822.87
  5. Step 5: Solve for x
    x = 10,561,822.87/5,406.39
  6. Step 6: Final answer
    x = 1,953.58

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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.