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Finding the Fourth Proportional to 4,135.69, 6,203.49 and 1,670.47

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Solution

The fourth proportional to 4,135.69, 6,203.49 and 1,670.47 is: 2,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.69 : 6,203.49 = 1,670.47 : x
  2. Step 2: Convert to fraction form
    4,135.69/6,203.49 = 1,670.47/x
  3. Step 3: Cross multiply
    4,135.69x = 6,203.49 × 1,670.47
  4. Step 4: Simplify right side
    4,135.69x = 10,362,712.92
  5. Step 5: Solve for x
    x = 10,362,712.92/4,135.69
  6. Step 6: Final answer
    x = 2,505.68

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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.