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Finding the Fourth Proportional to 5,493.84, 7,580.43 and 4,444.08

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Solution

The fourth proportional to 5,493.84, 7,580.43 and 4,444.08 is: 6,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.84 : 7,580.43 = 4,444.08 : x
  2. Step 2: Convert to fraction form
    5,493.84/7,580.43 = 4,444.08/x
  3. Step 3: Cross multiply
    5,493.84x = 7,580.43 × 4,444.08
  4. Step 4: Simplify right side
    5,493.84x = 33,688,037.35
  5. Step 5: Solve for x
    x = 33,688,037.35/5,493.84
  6. Step 6: Final answer
    x = 6,131.97

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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.