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Finding the Fourth Proportional to 4,138.76, 6,208.32 and 1,365.59

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Solution

The fourth proportional to 4,138.76, 6,208.32 and 1,365.59 is: 2,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.76 : 6,208.32 = 1,365.59 : x
  2. Step 2: Convert to fraction form
    4,138.76/6,208.32 = 1,365.59/x
  3. Step 3: Cross multiply
    4,138.76x = 6,208.32 × 1,365.59
  4. Step 4: Simplify right side
    4,138.76x = 8,478,019.71
  5. Step 5: Solve for x
    x = 8,478,019.71/4,138.76
  6. Step 6: Final answer
    x = 2,048.44

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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.