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Finding the Fourth Proportional to 5,603.14, 7,734.18 and 3,247.66

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Solution

The fourth proportional to 5,603.14, 7,734.18 and 3,247.66 is: 4,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.14 : 7,734.18 = 3,247.66 : x
  2. Step 2: Convert to fraction form
    5,603.14/7,734.18 = 3,247.66/x
  3. Step 3: Cross multiply
    5,603.14x = 7,734.18 × 3,247.66
  4. Step 4: Simplify right side
    5,603.14x = 25,117,987.02
  5. Step 5: Solve for x
    x = 25,117,987.02/5,603.14
  6. Step 6: Final answer
    x = 4,482.84

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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.