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Finding the Fourth Proportional to 5,723.40, 8,568.90 and 4,416.60

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Solution

The fourth proportional to 5,723.40, 8,568.90 and 4,416.60 is: 6,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.40 : 8,568.90 = 4,416.60 : x
  2. Step 2: Convert to fraction form
    5,723.40/8,568.90 = 4,416.60/x
  3. Step 3: Cross multiply
    5,723.40x = 8,568.90 × 4,416.60
  4. Step 4: Simplify right side
    5,723.40x = 37,845,403.74
  5. Step 5: Solve for x
    x = 37,845,403.74/5,723.40
  6. Step 6: Final answer
    x = 6,612.40

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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.