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Finding the Fourth Proportional to 3,597.84, 5,400.42 and 3,457.74

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Solution

The fourth proportional to 3,597.84, 5,400.42 and 3,457.74 is: 5,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.84 : 5,400.42 = 3,457.74 : x
  2. Step 2: Convert to fraction form
    3,597.84/5,400.42 = 3,457.74/x
  3. Step 3: Cross multiply
    3,597.84x = 5,400.42 × 3,457.74
  4. Step 4: Simplify right side
    3,597.84x = 18,673,248.25
  5. Step 5: Solve for x
    x = 18,673,248.25/3,597.84
  6. Step 6: Final answer
    x = 5,190.13

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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.