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Finding the Fourth Proportional to 3,673.68, 5,064.30 and 3,009.48

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Solution

The fourth proportional to 3,673.68, 5,064.30 and 3,009.48 is: 4,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.68 : 5,064.30 = 3,009.48 : x
  2. Step 2: Convert to fraction form
    3,673.68/5,064.30 = 3,009.48/x
  3. Step 3: Cross multiply
    3,673.68x = 5,064.30 × 3,009.48
  4. Step 4: Simplify right side
    3,673.68x = 15,240,909.56
  5. Step 5: Solve for x
    x = 15,240,909.56/3,673.68
  6. Step 6: Final answer
    x = 4,148.68

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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.