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Finding the Fourth Proportional to 4,683.47, 7,025.20 and 1,909.54

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Solution

The fourth proportional to 4,683.47, 7,025.20 and 1,909.54 is: 2,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.47 : 7,025.20 = 1,909.54 : x
  2. Step 2: Convert to fraction form
    4,683.47/7,025.20 = 1,909.54/x
  3. Step 3: Cross multiply
    4,683.47x = 7,025.20 × 1,909.54
  4. Step 4: Simplify right side
    4,683.47x = 13,414,900.41
  5. Step 5: Solve for x
    x = 13,414,900.41/4,683.47
  6. Step 6: Final answer
    x = 2,864.31

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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.