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Finding the Fourth Proportional to 5,584.21, 7,705.95 and 3,347.32

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Solution

The fourth proportional to 5,584.21, 7,705.95 and 3,347.32 is: 4,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.21 : 7,705.95 = 3,347.32 : x
  2. Step 2: Convert to fraction form
    5,584.21/7,705.95 = 3,347.32/x
  3. Step 3: Cross multiply
    5,584.21x = 7,705.95 × 3,347.32
  4. Step 4: Simplify right side
    5,584.21x = 25,794,280.55
  5. Step 5: Solve for x
    x = 25,794,280.55/5,584.21
  6. Step 6: Final answer
    x = 4,619.15

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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.