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Finding the Fourth Proportional to 5,584.25, 8,368.64 and 2,459.58

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Solution

The fourth proportional to 5,584.25, 8,368.64 and 2,459.58 is: 3,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.25 : 8,368.64 = 2,459.58 : x
  2. Step 2: Convert to fraction form
    5,584.25/8,368.64 = 2,459.58/x
  3. Step 3: Cross multiply
    5,584.25x = 8,368.64 × 2,459.58
  4. Step 4: Simplify right side
    5,584.25x = 20,583,305.11
  5. Step 5: Solve for x
    x = 20,583,305.11/5,584.25
  6. Step 6: Final answer
    x = 3,685.96

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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.