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Finding the Fourth Proportional to 3,597.67, 5,398.93 and 1,406.12

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Solution

The fourth proportional to 3,597.67, 5,398.93 and 1,406.12 is: 2,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.67 : 5,398.93 = 1,406.12 : x
  2. Step 2: Convert to fraction form
    3,597.67/5,398.93 = 1,406.12/x
  3. Step 3: Cross multiply
    3,597.67x = 5,398.93 × 1,406.12
  4. Step 4: Simplify right side
    3,597.67x = 7,591,543.45
  5. Step 5: Solve for x
    x = 7,591,543.45/3,597.67
  6. Step 6: Final answer
    x = 2,110.13

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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.