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Finding the Fourth Proportional to 5,103.57, 7,655.54 and 1,406.08

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Solution

The fourth proportional to 5,103.57, 7,655.54 and 1,406.08 is: 2,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.57 : 7,655.54 = 1,406.08 : x
  2. Step 2: Convert to fraction form
    5,103.57/7,655.54 = 1,406.08/x
  3. Step 3: Cross multiply
    5,103.57x = 7,655.54 × 1,406.08
  4. Step 4: Simplify right side
    5,103.57x = 10,764,301.68
  5. Step 5: Solve for x
    x = 10,764,301.68/5,103.57
  6. Step 6: Final answer
    x = 2,109.17

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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.