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Finding the Fourth Proportional to 4,437.53, 6,652.43 and 1,663.46

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Solution

The fourth proportional to 4,437.53, 6,652.43 and 1,663.46 is: 2,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437.53 : 6,652.43 = 1,663.46 : x
  2. Step 2: Convert to fraction form
    4,437.53/6,652.43 = 1,663.46/x
  3. Step 3: Cross multiply
    4,437.53x = 6,652.43 × 1,663.46
  4. Step 4: Simplify right side
    4,437.53x = 11,066,059.52
  5. Step 5: Solve for x
    x = 11,066,059.52/4,437.53
  6. Step 6: Final answer
    x = 2,493.74

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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.