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Finding the Fourth Proportional to 5,805.60, 8,697.60 and 5,416.80

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Solution

The fourth proportional to 5,805.60, 8,697.60 and 5,416.80 is: 8,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.60 : 8,697.60 = 5,416.80 : x
  2. Step 2: Convert to fraction form
    5,805.60/8,697.60 = 5,416.80/x
  3. Step 3: Cross multiply
    5,805.60x = 8,697.60 × 5,416.80
  4. Step 4: Simplify right side
    5,805.60x = 47,113,159.68
  5. Step 5: Solve for x
    x = 47,113,159.68/5,805.60
  6. Step 6: Final answer
    x = 8,115.12

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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.