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Finding the Fourth Proportional to 5,365.48, 7,406.46 and 4,106.46

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Solution

The fourth proportional to 5,365.48, 7,406.46 and 4,106.46 is: 5,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.48 : 7,406.46 = 4,106.46 : x
  2. Step 2: Convert to fraction form
    5,365.48/7,406.46 = 4,106.46/x
  3. Step 3: Cross multiply
    5,365.48x = 7,406.46 × 4,106.46
  4. Step 4: Simplify right side
    5,365.48x = 30,414,331.73
  5. Step 5: Solve for x
    x = 30,414,331.73/5,365.48
  6. Step 6: Final answer
    x = 5,668.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.