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Finding the Fourth Proportional to 3,768.42, 5,653.34 and 1,688.52

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Solution

The fourth proportional to 3,768.42, 5,653.34 and 1,688.52 is: 2,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.42 : 5,653.34 = 1,688.52 : x
  2. Step 2: Convert to fraction form
    3,768.42/5,653.34 = 1,688.52/x
  3. Step 3: Cross multiply
    3,768.42x = 5,653.34 × 1,688.52
  4. Step 4: Simplify right side
    3,768.42x = 9,545,777.66
  5. Step 5: Solve for x
    x = 9,545,777.66/3,768.42
  6. Step 6: Final answer
    x = 2,533.10

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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.