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Finding the Fourth Proportional to 5,104.01, 7,655.04 and 1,405.32

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Solution

The fourth proportional to 5,104.01, 7,655.04 and 1,405.32 is: 2,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.01 : 7,655.04 = 1,405.32 : x
  2. Step 2: Convert to fraction form
    5,104.01/7,655.04 = 1,405.32/x
  3. Step 3: Cross multiply
    5,104.01x = 7,655.04 × 1,405.32
  4. Step 4: Simplify right side
    5,104.01x = 10,757,780.81
  5. Step 5: Solve for x
    x = 10,757,780.81/5,104.01
  6. Step 6: Final answer
    x = 2,107.71

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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.